Solve the following system of equations:
y = 5/4x - 2
y = -1/4x + 19

x = ? and y = ?

Answers

Answer 1

Answer:

1. y= 5 /4 x −2

2.x=−4y+76

Answer 2

The value of a and y in the system y = (5/4)x - 2 and y = -(1/4)x + 19 are,

14 and 31/2 respectively.

What are the solutions of a linear system of equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given,

y = (5/4)x - 2 and y = -(1/4)x + 19.

Multiplying both the equations by 4 we have,

4y = 5x - 8 and 4y = - x + 76.

Subtracting the second equation from the first we have,

0 = 6x - 84.

6x = 84.

x = 14.

Replacing 'x' in any of the equations,

4y = 5(14) - 8.

4y = 70 - 8.

4y = 62.

y = 31/2.

learn more about the linear system of equations here :

https://brainly.com/question/21404414

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Related Questions

Multiple questions:
1. A scuba diver dives beneath the ocean to a depth 60 feet below sea level or 60 ft. He then swims in the opposite direction back up to the surface of the water. Write a number sentence that describes this situation.

2. If Ms. (name) ate 5/8o f a pizza and Ms. (name) ate 0.25 of the pizza, what number represents the part of the pizza that was not eaten?

3. Ms. (name) wants to buy a jacket for $13.49 and a blouse for $6.39. The prices include tax. If she gives the cashier two $20 bills, how much change should Ms. Purdy expect?

Answers

Answer:

The first one would be 0-60+60 because he started at the surface which is leveled at 0, then dove beneath the surface 60, which is -60. He then goes back up 60, which is +60.

Step-by-step explanation:

^^^^^^^^^^^^^^^^^^^

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Pls Help Psl help brainliest

Answers

x=31, the other post justifies, I just wanted to make it more accessible for if someone just needs the answer :)
X=31 I think I’m not sure

At Truman Middle School, 6th-grade students were given a survey about their favorite flavor of ice cream. The results showed that 22 students stated that strawberry was their favorite ice cream flavor. This number represented 10% of the total number of 6th-grade students who took the survey. What was the number of students who took the survey?

Answers

Answer:

220

Step-by-step explanation:

A system of equations is graphed on the coordinate plane.

y=12x+4y=12x+3 Select the number of solutions for the system of equations from the drop-down menu.


Choose...

Answers

Answer:

no solutions

Step-by-step explanation:

.

0 no solutions because it is a parallel line it never intersects.

Mark the Brainleist! What is the square root of 35? Explain

Answers

Answer:

The square root of 35 is 5.92. I might be wrong

What is X/2 + 1 = 7?

Answers

Answer:

x=12

Step-by-step explanation:

subtract one from both sides then multiply both sides by two

please mark brainliest

Can u help mee??Ill give u 20 points.Ty!

Answers

Answer:

D

Step-by-step explanation:

hope this help

Answer:

18.125 lbs.

Step-by-step explanation:

7.25 x 2[tex]\frac{1}{2}[/tex] = [tex]\frac{145}{8}[/tex] or 18.125 lbs

help please this is hard

Answers

Answer:

Step-by-step explanation:

3. z-(-12)=15

z+12=15

-12 on both sides

z=3

4. x-(-7)=-10

x+7=-10

-7 on both sides

x=-17

What fraction, when multiplied by 3, would result in a number greater than 3?

Answers

Answer:

4/3

Step-by-step explanation:

4/3 x 4 = 4

Answer: You can use an improper fraction like 5/3 and when it is multiplied by 3 it becomes 5.

5/3*3=5

The perimeter of the rectangle is (14,19,28,45) cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are (15cm by 11cm, 30cm and 9cm , 54cm and 5cm , 54cm and 30cm) . The perimeter of the new rectangle is ( 78,84,118,168 ) cm. When comparing the new perimeter to the original perimeter, the new perimeter is ( 1/6 timws less , 6 times greater , 60 times greater ) .

Answers

Answer:

The perimeter of the rectangle is

✔ 28

cm.

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are

✔ 54 cm and 30 cm

.

The perimeter of the new rectangle is

✔ 168

cm.

When comparing the new perimeter to the original perimeter, the new perimeter is

✔ 6 times greater

Step-by-step explanation:

` Please tell me x thankyou very much please no fake answers this is desmos btw tha

Answers

ya valiste verga nadie te va a ayudar
x=7

10x+63=19x. -move terms
10x-19x=-63 -simplify
-9x=-63 -divide both sides by 9
x=7 -answer

One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?

Good Luck!!

Answers

Answer:

17

Step-by-step explanation:

Let us suppose two years ago my brother's age was x years

Then, my age was 3x

Three years from now, my brother's age will be (x +2+3) = (x+5) years

And my age will be (3x+2+3) = (3x+5) years

But it is given that i will be twice as old as my brother.

So, 2(x+5)= (3x+5)

or, x= 5 years

So my brother's present age is 5+2= 7 years

And my age is 5*3+2= 17 years

Pretty sure that the answer is 17

Convert the following number to scientific notation.

.0101234
First right= brainliest <3

Answers

ERROR CODE (67-291)

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1.01234 x 10^-2 I think?

Which expression has the same value as 15 + 9 ÷ 3 − 2
a. 15 + (9 ÷ 3) − 2
b. (15 + 9) ÷ (3 − 2)
c. 15 + 9 ÷ (3 − 2)
d. (15 + 9) ÷ 3 − 2

Answers

Answer:

The answer is A. 15+(9÷3)-2

Step-by-step explanation:

Well first we need to solve the current equation

15+9÷3-2

We should use PEMDAS. Since we do not need to do any parentheses, exponents, or multiplying. So we need to move onto division. 9÷3 would equal 3 so not the original equation looks like...

15+3-2

Now we will move on to adding and add 15 and 3 which equals 18. This leaves us with our last step....

18-2

We need to subtract 2 from 18 which will leave us at 16. Now that we have solved the original equation we can solve the others to find the answer using PEMDAS

A. 15+(9÷3)-2

15+3-2

18-2

16

B. (15+9) ÷(3-2)

24÷1

24

C. 15+9 ÷ (3-2)

15+9÷1

15+9

24

D. (15+9) ÷ 3-2

24÷3-2

8-2

6

We have all the answers now and only one has the same value which is...

A. 15+(9÷3)-2

This equals 16 as does our original answer

Answer:

The answer is A. 15+(9÷3)-2

Step-by-step explanation:

Well first we need to solve the current equation

15+9÷3-2

We should use PEMDAS. Since we do not need to do any parentheses, exponents, or multiplying. So we need to move onto division. 9÷3 would equal 3 so not the original equation looks like...

15+3-2

Now we will move on to adding and add 15 and 3 which equals 18. This leaves us with our last step....

18-2

We need to subtract 2 from 18 which will leave us at 16. Now that we have solved the original equation we can solve the others to find the answer using PEMDAS

A. 15+(9÷3)-2

15+3-2

18-2

16

B. (15+9) ÷(3-2)

24÷1

24

C. 15+9 ÷ (3-2)

15+9÷1

15+9

24

D. (15+9) ÷ 3-2

24÷3-2

8-2

6

We have all the answers now and only one has the same value which is...

A. 15+(9÷3)-2

This equals 16 as does our original answer ty

Which expression can be used to find the product of 63 x 42?

Question 10 options:

(60 x 40) + (60 x 2) + (3 x 40) + (3 x 2)


(60 x 3) + (60 x 2) + (3 x 40) + (3 x 2)


(40 x 60) + (60 x 3) + (2 x 40) + (3 x 2)


(40 x 2) + (60 x 3) + (2 x 40) + (3 x 2)

Answers

Answer:

yhe product of 63×42 is 21

The answer would be
A:

(60 x 40) + (60 x 2) + (3 x 40) + (3 x 2)

.

i need helps with this (click the picture to see it clearer

Answers

Step-by-step explanation:

any picture I am not seeing nothing

The LCM's are 12, 20, 21, 24, 12

Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs’ home. How much did she leave altogether?

Good Luck!!! First Right Answer gets brainliest!!!

Answers

Answer:: She left $12,000.

Step-by-step explanation:

$12,000

Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs' home. How much did she leave altogether?

She left $12,000! she left the granddaughter $6,000 and her grandson $3,000 and her brother $2,000 the rest ($1,000) to the dogs home

please help me I'm desperate!!!!!

Answers

C. Is the answer .yw
C is the answer to the question

Plz, help, first right gets brainliest:)

Answers

Answer:

9

Step-by-step explanation:

3^3 = 9

the cubed radical of 9 is 3.

help me pleaseeeeeeeeeeeee

Answers

Как ты просто написал Зеландии ми

(pay attention to the nimbers) A submarine must descend at an average rate of at least 10 feet per minute for 5 minutes. The table shows how many feet the submarine descends in the first 4 minutes. How many feet must the submarine descend in the fifth minute? (show your work)

Answers

   Submarine must descend by 12 feet in the fifth minute.

Average of the data:Average of a data set is calculated by dividing the sum of terms by the number of the terms of the set.

From the table given in picture,

Let the distance descended by submarine in 5th minute = x feet

Average distance descended by the submarine = [tex]\frac{\text{Total distance distended}}{\text{Duration or time}}[/tex]

                                                                                = [tex]\frac{8+10+8+12+x}{5}[/tex]

                                                                                = [tex]\frac{38+x}{5}[/tex] feet per minute

Statement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"

So the inequality for the statement will be,

[tex]\frac{38+x}{5}\geq 10[/tex]

38 + x ≥ 50

x ≥ 50 - 38

x ≥ 12

    Therefore, submarine must descend 12 feet in the 5th minute.

Learn more about the average here,

https://brainly.com/question/14194794?referrer=searchResults

Please Help!!! Will give brainly!!

Answers

Answer:

x = 34

Step-by-step explanation:

90° + 42° = 132°

180° - 132° = 48°

m∠DFE = 48°

2x + 48 + 64 = 180

2x + 112 = 180

2x = 68

x = 34

Answer:

FIrst, lets set up some rules to keep in mind:

The interior angles of any triangle will add up to 180°

Therefore, m<FED + m<FDE + m<DEF or in other words 64 + 2x+ m<DFE=180

Next, lets note that there are supplementary angles in this problem which are a set of angles that add to 180°. For example, m<HFC + m<EFH + m<DFE = 180.

With those in mind lets solve:

If we find the m<DFE then we can find the value of x since the interior angles of any triangle add to 180.

to find f we can use supplementary angles.

42°+90°+m<DFE=180

132+m<DFE=180

m<DFE=48°

Therefore,

64+48+2x=180

112+2x=180

2x=68

x=34

To check our answer we can plug in 34 for x and the 3 interior angles of that triangle should add to 180

2(34)+64+48=180?

68+64+48=180?

180=180

x=34 is valid

Step-by-step explanation:

Giving brainliest!!!!!Which of the following is the graph of y ≤-1/2x-3

Answers

The answer is most likely the first graph.
Last one because it is a line and not dots and the line goes through -3

An amusement park has an entrance
fee of $25 and charges an additional $2 for each ride. What is the maximum and minimum number of rides a visitor could ride if the total fee is at least $37 but not more than $53?
A 3 to 18 rides B 5 to 14 rides C 5 to 15 rides D 6 to 14 rides

Answers

Answer:

D

Step-by-step explanation:

If the minimum amount you can spend is $37 then that is 6 rides.

D
37-25=12$
With 12$ you can go on only 6 rides

53$-25&=28
28/2 equals 14 rides which is the maximum

Really need help with this. I will give brainliest.

Answers

It’s 1/12, I believe.

Answer:

a. 1/12

Step-by-step explanation:

The shaded part on the number line is one fourth of a third, and if you multiplied 3 x 4 you would get 12 which is why it would be 1/12. Sorry if the explanation wasnt that helpful, I didn't really know how to explain it.

Which fraction is represented by point A on the number line?

Answers

Answer:

- 1/3

Step-by-step explanation:

Answer:

The answer is - 1/3 .

Step-by-step explanation:

can you answer 14.15.16

Answers

Answer:

can you please tell me the question there's nothing there

Step-by-step explanation:

There is no question to answer there

As a fraction in simplest terms, what would you multiply the first number by to get the second?


Pls help need the answer today

Answers

You and multiply it by 2.5 because 15÷6 is 2.5
You multiply by 2.5 because 15 divided by 6 equals 2.5
Hope this is helpful!

Teresa's restaurant bill comes to $29.99 before tax. If the sales tax is 6.25% and she tips the server 20%, what is the total cost of the meal? $_______________________________

Answers

Answer:

37.86

Step-by-step explanation:

The answer

The answer: 37.86

Hope this helps!!

PLEASE HELP ME
Evaluate: (15 − 5 ⋅ 2) − (16 ÷ 4) + 3

Answers

Answer:4

Step-by-step explanation:

15-(5)(2)-16/4+3

=15-10-16/4+3

=5-16/4+3

=5-4+3

=1+3

=4

Answer:4

Step-by-step explanation:

15-(5)(2)-16/4+3

=15-10-16/4+3

=5-16/4+3

=5-4+3

=1+3

=4

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