Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?

Answers

Answer 1

Answer:

$3300 at 4%

$11700 at 7%

Step-by-step explanation:

Total investment = $15000

Total simple interest on investment = $951

Investment A:

Rate = 4% =0.04

Investment B:

Rate = 7% =0.07

Simple interest (S. I) = principal * rate * time

(S. I on investment A + S. I on investment B)

Let principal amount in investment A = A

principal amount in investment B = B

(A * 0.04 * 1) + (B * 0.07 * 1) = $951

0.04A + 0.07B = $951 - - - - (1)

A + B = $15000 - - - - (2)

from (2)

A = 15000 - B

Substitute A = 15000 - B into (1)

0.04(15000 - B) + 0.07B = 951

600 - 0.04B + 0.07B = 951

600 + 0.03B = 951

0.03B = 951 - 600

0.03B = 351

B = 351 / 0.03

B = $11700

From (2)

A + B = $15000

A + $11700 = $15000

A = $(15000 - 11700)

A = $3300


Related Questions

PLS HELP ME!!!! THIS IS URGENT

An equilateral triangle has three sides with equal length and three angles with equal measure. Given equilateral triangles, △ABC and △DEF complete the statements below.

Answers

Answer:

The answer is below

Step-by-step explanation:

An equilateral triangle is a triangle in which all the three sides are equal and all the angles are also equal. Each angle in an equilateral triangle is equal to 60°.

1) We cannot determine if the Two triangles are congruent because for congruence at least one side must be equal. Since we know that all the angles in both triangle ABC and DEF have the same measure of angle, we cannot finalize that they are congruent until the have at least one equal measure of length

ΔABC is not ≅ ΔDEF

2) All angles in an equilateral triangle are equal and is 60°. Therefore m∠E = 60°

3) Two triangles are said to be similar if they have the same shape and their sides have the same proportion. Since both triangle ABC and DEF have the same measure of angle, therefore they are similar. i.e

ΔABC ~ ΔDEF

An equilateral triangle is a triangle with all three sides of equal length and all angles are equal.

△ABC and △DEF are not congruent to each other.

 ∠E = 60 degree.

△ABC ≈ △DEF

Since, An equilateral triangle has three sides with equal length and three angles with equal measure.

1 . In triangle △ABC and △DEF , for congruency at least one side should be equal to apply ASA congruency rule.

ASA  congruence state that , if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent.

2. Both triangles △ABC and △DEF are equilateral.

      ∠B = ∠E =  60 degree

3. Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Similar triangles are the same shape, but not necessarily the same size.

So,  triangles △ABC and △DEF are  similar.

         △ABC ≈ △DEF

Learn more:

https://brainly.com/question/16815166

Help, I need an answer ASAP

Answers

Answer::

SSS: When all three sides are equal to each other on both triangles, the triangle is congruent. AAS: If two angles and a non-included (you can think of it as outside) side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Therefore let's solve according to the statement..

1) yes..all three sides are equal

2)no..all sides aren't equal

3)yes..all sides are equal

4)no..all sides aren't equal

Hope this helped u..

Answer:

1) No 2) No 3) Yes; SAS 4) Yes; AAS

Step-by-step explanation:

In the first triangle, you see two sides are congruent to each other, and there is an angle but it is not in between. An Angle-Side-Side-Postulate doesn't exist, so this will be a no. For number 2, you see one angle and two sides are congruent. The angle isn't between the triangles, so this is not congruent. Again, an Angle-Side-Side Postulate doesn't exist. For number three, we see two sides are given, and the two triangles intersect. This gives us a vertical angle, and vertical angles are congruent. We can conclude these triangles are congruent by the Side-Angle-Side Postulate. Lastly, we're given one side and one angle. We can also infer that the vertical angles are congruent, so this will be the result of Angle-Angle-Side.

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are choise 13,14 13,14,15 15,16,17 16,17

Answers

Answer:

5

Step-by-step explanation:

Run A Regression Analysis Job Evaluation Weighted Points Avg. $ X Y Dealer 120 19944.44 Shark 145 29458.33 Laborer 175 34000 Banker 215 56875 Consultant 245 62900 Completion of:
Task A: Conduct a simple regression in Excel to create a market pay line by entering the job evaluation points (on the X axis) and the respective weighted average market base pay (on the Y axis) for each benchmark job. Completion of
Task B: What is your R squared (variance explained)? Is it sufficient to proceed? Completion of
Task C: Calculate the predicted base pay for each benchmark job. Completion of
Task D: Because your company wants to lead in base pay by 3 percent, adjust the predicted pay rates to determine the base pay rate you will offer for each benchmark job. Completion of
Task E:
Task H: Create pay grades by combining any benchmark jobs that are substantially comparable for pay purposes. Clearly label your pay grades and explain why you combined any benchmark jobs to form a grade Completion of
Task F: Use your answer to Task H to determine the pay range (i.e., minimum and maximum) for each pay grade. Completion of
Task G: Given the pay structure you have generated, consider the following: Does this pay structure make good business sense?
Do you think it is consistent with the organization’s business strategy? What are the implications of this pay structure for other HR systems, such as retention and recruiting

Answers

Answer:

task b

Step-by-step explanation:

ASAP URGENT!! Will give BRAINLIEST!!! Using the sine rule work out angle x Look at attached image thx x

Answers

Answer: Sorry dont know

Step-by-step explanation:

The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?

Answers

Answer:

The speed V = 194.03 mph

Direction = 3.6° northeast

Step-by-step explanation:

The distance of the trip = 291 miles

The direction of flight = 9.1 degrees northeast

Speed of the prevailing wind = 25 mph

Direction of wing = southeast = 45 degrees South of East

The speed heading to Ivy Cliffs = V₁

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45))  × t₂ = 291 miles

t₁ + t₂ = 3 hours

(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i

The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)

Also on the return trip we have;

V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)

Subtracting equation (2) from (1) gives;

58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)

V = 291²×(6·t-9)/(t²·(t-3)²)/58.64

Substituting the value of V in (2) with a graphing calculator gives;

t₁= 1.612 or 1.387

Given that magnitude of the speed going > return = V² for  t₁ < t₂

t₁ = 1.387, t₂ = 1.612

From  V²+29.32·V +625= 291²/t₁², we have

V²+29.32·V +625= 291²/1.387²

Which gives

V²+29.32·V -43336.5 = 0

(V + 233.35)(V-194.03) = 0

V = -233.35 mph or V = 194.03 mph

Given that V is a natural number, we have, V = 194.03 mph.

The direction is given by the relation;

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387

13j + 209.27i = 208.81 mph

The angle tan θ = 13/209 = 0.00622

θ = tan⁻¹(13/209.27) = 3.6°.

What is the slope of the graph shown below?
A. -2
B. 1
C. 2
D. 1/2

Answers

Answer:

i think its the answe d but not sure

Can somone answer my question please: 3cm squared onverted to 100mm squared = 300cm squared?

Answers

Answer:

hi you can solve this sum by 4×side formula

Step-by-step explanation:

plz solve and check you equation

Answer: 100mm squared is less than 300cm squares

10000mm < 90000cm
10000mm < 900000mm

The base of a regular pyramid is a hexagon.

Answers

Answer:

96[tex]\sqrt{3}[/tex] cm²

Step-by-step explanation:

A hexagon can be cut into 6 equilateral triangles.

Using the half shown in the diagram to calculate the apothem a , and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

a = 4[tex]\sqrt{3}[/tex] cm

The area (A) can be calculated using

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )

The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )

p = 6 × 8 = 48 cm, so

A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²

Help me please I can’t figure it out

Answers

Answer:

2 m

Step-by-step explanation:

The bottom length of the bottom cuboid is equal to the top length of the bottom cuboid.

8 = 3 + c + 3

8 = c + 6

8 - 6 = c

2 = c

Answer:

2 is the missing length

Step-by-step explanation:

3 + x+ 3 =8

6+x =8

x= 8-6

x=2

Driving on the highway, you can safely drive 60 miles per hour. “How far can you drive in ‘h’ hours?” What is the range of the function which defines this situation?
A. 60
B.the number of hours you drive
C.the amount of gas you use
D.the distance you drive

Answers

Answer:

D.the distance you drive

Step-by-step explanation:

The range of the function is the values of the output

h is the input

60h is the output

60 = miles driven = distance

Answer:

the answer would be D. the distance you drive

Step-by-step explanation:

because i took the quiz and put this answer and got it right

Please help me to solve this . Thank you so much .
And if possible , could you explain the answer too ?

Base on the diagram , state

a) The point which is 2 cm from R and 4 cm from P

b) The point which is more than 2 cm from R and 4 cm from T

c) The location of a moving point X in the diagram such that it is less than 4 cm from P and more than 2cm from R

d) The location of a moving point Y in the diagram such that YR < 2 cm and YP < 4 cm

e)The location of a moving point Z in the diagram such that ZT > 4 cm , ZP > 4 cm and ZR > 2 cm

Answers

Answer:

a) N

b) L

c) area I

d) area II

e) area VI

Step-by-step explanation:

a) the points that are 2cm from R are Q, N, M, S. Then, points that are 4cm from P are K, N, R. So, the only one point that works for both is N.

b) the points that are >2cm from R are P, K, L, T. We do not count those are exactly 2cm from R. Then, points that are 4cm from T are R, M, L. Ans is L.

c) <4cm from P, are area I and II. Then area that are >2cm from R are I, VI, and V. So, the only area that works for both is I.

d) <2cm from R, are areas II, III, and IV. Then, <4cm from P, are areas I and II. So, the only one works for both is area II.

e) >4cm from T, are areas I, II, III, VI. Then, >4cm from P, are III, IV, V, VI. Finally, >2cm from R, are areas I, VI, V. The only one that works for all three conditions is area VI.


Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation
and then calculate how tall the wind turbine is.​

Answers

Answer:

see below for a diagram15 m

Step-by-step explanation:

Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.

The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.

The wind turbine is 15 m tall.

Solve: 3/4y -2 = 6 - 1/4y

Answers

Answer:

8

Step-by-step explanation:

Hi there! :)

Answer:

y = 8.

Step-by-step explanation:

Starting with:

3/4y - 2 = 6 - 1/4y

Isolate the y variable to solve this equation. Begin by adding '1/4y' to both sides:

3/4y + 1/4y - 2 = 6

y - 2 = 6

Add 2 to both sides:

y = 8.

9. A open-sea diver dove down 42 ft. to harvest sponges. After rising 28 ft. how far was the diver from
the surface? (Hint: Drawing a diagram may help you answer this.)

Answers

Answer:

14 feet away from the surface. -14

Step-by-step explanation:

The diver was 42 feet below the surface.

He went up 28 feet.

We have to find out how far he is from the surface.

All you would do is subtract 42 - 28.

This would be 14 feet.

This means the diver is 14 feet away from the surface.

The diver is 14 feet away from the surface.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The diver was 42 feet below the surface.

He went up 28 feet.

So, after moving 28 feet up the remaining distance would be

= 42 - 28.

= 14 feet

Hence, the diver is 14 feet away from the surface.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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Mr.Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below. Based on this week, what solution to the system?
•(-4,-4)
•(0,0)
•no solution
•infinitely many solutions

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.

How many solutions does the system have?

First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.

Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.

So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).

Then we conclude that the system has infinitely many solutions.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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Drag each tile to the correct box. The graph shows a proportional relationship between the number of words Shania can type and the time it takes her to type them. What does these ordered pairs mean? (5, 150) (1, 30) (0, 0) _____ Shania types 30 words in 1 minute. --> ______ Shania types 120 words in 4 minutes. ---> ____ Shania types 150 words in 5 minutes. ---> _____ (I REALLY Need help on this ASAP! This is Half of my points. Please help me out!)

Answers

Answer: Shania types 30 words in 1 minute. --> (1, 30)  

Shania types 120 words in 4 minutes. --> (4,120)

Shania types 150 words in 5 minutes. ---> (5, 150)

Step-by-step explanation:

In the given graph, At x-axis we have Time (minutes) which is an independent variable. On the other hand, at y-axis we have Words type which is dependent varaible.

Point on graph is written in the form (x,y)

So, points corresponding to

Shania types 30 words in 1 minute. --> (1, 30)  [here x= 1 and y=30]

Shania types 120 words in 4 minutes. --> (4,120) [here x=4 and y=120]

Shania types 150 words in 5 minutes. ---> (5, 150)[here x= 5 and y=150]

Evaluate m²p - p (m - p ) if m= 3 and p = 5

Answers

Answer:

55

Step-by-step explanation:

m^2p - p(m - p), if m=3 and p=5.

So we plug those value into the correct space...

(3)^2 (5) - (5) (3 - 5)

9x5 - 5 x (-2)

45 - (-10)

45 + 10

55

it would be 55 :) !!!

What is a square root

Answers

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number.

Examples:

4 multiplied by itself is 16. Therefore, the square root of 16 is 4.

(4 x 4 = 16)

The same goes for every number.

(3 x 3 = 9) square root of 9 is 3

(5 x 5 = 25) square root of 25 is 5

finding the number which was multiplied to itself giving the given product of question

What is the x-intercept of the line 4x - 3y = 16?

What is the x-intercept of the line 10x - 5y = 40?

What is the x-intercept of the line y = -3x - 9?

Answers

Answer:

1.

[tex](x , y) = (4 ,\: 0)[/tex]

2.

[tex](4,0) = (x,y)[/tex]

3.

[tex](x,y) = ( - 3,0)[/tex]

I hope it helps :)

Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y

Answers

Answer:

135° and 45° respectively

Step-by-step explanation:

x + y = 180° (angles on a straight line)

x = 3y (corresponding angles)

3y + y = 180°

4y = 180°

y = 180/4

y = 45°

x = 180 - y

x = 180 - 45

x = 135°

3t+1/16-2t-3/7=t+3/8+3t-1/14​

Answers

Answer:

t = -(25/112)

Please, help me with this. Solve X/6 = 7

Answers

Answer:

42

Step-by-step explanation:

Answer:

x = 42

Step-by-step explanation:

Given x/6 = 7

solution:

multiply both sides by 6

x/6*6 = 7*6

x = 42

HELP ASAP MONEY AND WAGES

Answers

Answer:  $57,700.00

Step-by-step explanation:

Total Gross Annual income = $70,000

a) Pension at 5% = $70,000(0.05) = $3,500

b) Employee Insurance at 2.4% = $70,000(0.024) = $1,680

c) Income Tax at 0% for $0-$11,000 = $11,000(0) = $0

   Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120

   Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000

   Income Tax at 15% for $50,000-$100,000 = $20,000(0.15) =$3,000

Total Income Tax = $7,120

Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:

$70,000 - $3,500 - $1,680 - $7,120 = $57,700

Find the value of x if 12x=34^2 - 26^2

Answers

Answer:

40

Step-by-step explanation:

[tex] 12x = 34^2 - 26^2 \\

12x = (34+26)(34-26)\\

12x = 60\times 8\\\\

x = \frac{60\times 8}{12}\\\\

x = 5\times 8\\

x = 40[/tex]

Paige launched a ball using a catapult she built. The
height of the ball (in meters above the ground) t seconds
after launch is modeled by
h(t) = -5t2 + 40t
Paige wants to know when the ball will hit the ground.
1) Rewrite the function in a different form (factored
or vertex) where the answer appears as a number in
the equation.
h(t) =
2) How many seconds after launch does the ball hit
the ground?
seconds

Answers

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing through the showerhead . The lower the speed, the less water that is used.

The equation w=2.5m models the amount of water, w, in gallons that passes through a showerhead in minutes.

Which is the independent variable and which is the dependent variable?

The amount of water in gallons, w, is the independent or dependent variable.

The time in minutes, m, is the independent or dependent variable. ​

Answers

Answer:

The amount of water in gallons, w, is the dependent variable.

The time in minutes, m, is the independent variable.

Step-by-step explanation:

The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.

Hope that helps.

In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture. A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base) A cone has a volume of 150 cm3 and a base with an area of 12 cm2. What is the height of the cone? Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible. A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation.

Answers

Answer:

1. The amount of ice needed = 18 m²

2. The amount of fabric needed to manufacture the umbrella is 0.76 m²

3. The height of the cone, is 3.75 cm

4. The dimensions of the deck are;

Width = 28/3 m, breadth = 28/3 m

The area be 87.11 m²

5.   The dimensions of the optimal design for setting the storage area at the corner, we have;

Width = 10m

Breadth = 10 m

The dimensions of the optimal design for setting the storage area at the back of their building are;

Width = 7·√2 m

Breadth = 7·√2 m

Step-by-step explanation:

1. The amount of ice needed is given by the volume, V, of the pyramid given by V = 1/3 × Base area × Height

The base area = Base width × Base breadth = 3 × 5 = 15 m²

The pyramid height = 3.6 m

The volume of the pyramid = 1/3*15*3.6 = 18 m²

The amount of ice needed = 18 m²

2. The surface area of the umbrella = The surface area of a cone (without the base)

The surface area of a cone (without the base) = π×r×l

Where:

r = The radius of the cone = 0.4 m

l = The slant height = √(h² + r²)

h = The height of the cone = 0.45 m

l = √(0.45² + 0.4²) = 0.6021 m

The surface area = π×0.4×0.6021 = 0.76 m²

The surface area of a cone (without the base) = 0.76 m²

The surface area of the umbrella = 0.76 m²

The amount of fabric needed to manufacture the umbrella = The surface area of the umbrella = 0.76 m²

3. The volume, V, of the cone = 1/3×Base area, A, ×Height, h

The volume of the cone V = 150 cm³

The base area of the cone A = 120 cm²

Therefore we have;

V = 1/3×A×h

The height of the cone, h = 3×V/A = 3*150/120 = 3.75 cm

4. Given that the deck will have railings on three sides, we have;

Maximum dimension = The dimension of a square as it is the product of two  equal maximum obtainable numbers

Therefore, since the deck will have only three sides, we have that the length of each side are equal and the fourth side can accommodate any dimension of the other sides giving the maximum dimension of each side as 28/3

The dimensions of the deck are width = 28/3 m, breadth = 28/3 m

The area will then be 28/3×28/3 = 784/9 = [tex]87\frac{1}{9}[/tex] =87.11 m²

5. The optimal design for setting the storage area at the corner of their property with four sides is having the dimensions to be that of of a square with equal sides of 10 m each as follows;

Width = 10m

Breadth = 10 m

The optimal design to have the storage area at the back of their building having a fence on only three sides, is given as follows;

Storage area specified = 98 m²

For optimal use of fencing, we have optimal side size of fencing = s = Side length of a square

s² = 98 m²

Therefore, s = √98 = 7·√2 m

Which gives the width = 7·√2 m and the breadth = 7·√2 m.

what is the solution for 4x-2=1?

Answers

Answer: [tex]x = \frac{3}{4}[/tex]

Step-by-step explanation:

[tex]4x-2=1\\Add(2)\\4x=3\\Divide(4)\\x=3/4[/tex]

Hope it helps <3

Answer:

[tex]\boxed{x=\frac{3}{4}}[/tex]

Step-by-step explanation:

[tex]4x-2=1[/tex]

Add 2 on both sides.

[tex]4x-2+2=1+2[/tex]

[tex]4x=3[/tex]

Divide both sides by 4.

[tex]\displaystyle \frac{4x}{4} =\frac{3}{4}[/tex]

[tex]\displaystyle x=\frac{3}{4}[/tex]


x + y = 6
X - 4y = 1
Find the solution of the system of equations by using
elimination.

Answers

Answer:

x=5, y=1

Step-by-step explanation:

First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...

x + y = 6

x - 4y = 1

x + y = 6

-x + 4y =- 1

Now you can eliminate the x variable by addition process. It becomes like this...

x + y = 6

-x + 4y =- 1

5y=5

y = 1

Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .

When y=1, substitute into x + y = 6

x + 1 = 6

x = 6-1

x = 5

Hooray! Now you have the value of x and y.

x= 1 and y=5.

I hope you will understand my explanation. Bye!

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