Solve the system using elimanation: 3x + 5y = -2 and -x + 2y = 8

Answers

Answer 1

Answer:

Step-by-step explanation:

3x+5y+3(-x+2y)=-2+3(8)

3x+5y-3x+6y=-2+24

11y=22

y=2, using this y in -x+2y=8 gives you

-x+2(2)=8

-x+4=8

-x=4

x=-4

So the solution is the point (x, y)=(-4, 2)


Related Questions

A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in ​25 minutes? In 1 hour?

Answers

Answer:

https://i.pinimg.com/originals/50/3f/9a/503f9a49a2faa03f7db90f090eea6bff.gif

Step-by-step explanation:

Answer:

Given:

A car travels 2 1/3 miles in 3 1/2 minutes.

We need to find the distance travelled in ​25 minutes, in 1 hour.

So, 2 1/3= 7/3 and 3 1/2 = 7/2

Let's convert them into decimals by dividing them completely.

So, we will get 2.33 miles and 3.5 minutes.

So now we have that 2.33 miles are covered in 3.5 minutes.

Now we need to know the distance covered in 1 minute.

So, 2.33/3.5=0.67

So now we have in one minute 0.67 miles are covered.

Now distance covered in 25 minutes will be:

0.67*25 = 16.75 miles

Now distance covered in one hour:

1 hour = 60 minutes.

So, 0.67*60 = 40.2 miles

So we have distance covered in 25 minutes-16.5 miles and in 1 hour- 40.2 miles.

what percent of 800 is 4​

Answers

Answer:

0.5

That is the answer.

what is 10+1+44+3333-45

Answers

The answer is to this is 3343
3,343 is the answer:) thx for the points

I NEED HELP ASAP (will give brainiest) 20 POINTS

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=65(1.25)^x

Answers

Answer:

the anwser is y=5600

I'm going to just go by this because of research and you didn't show the 4 problems so if this fixes your question then there you go

Answer:

growth

25% increase

Step-by-step explanation:

since the number in the parentheses is above 1 the change is a growth
percent change: do
(V2-V1) / V1 x 100= 25%

V2 is 81.25 which the point if x is 1. And V1 is 65 which is the y-intercept.

can someone tell me i really need it asap

Answers

Answer:

A

Step-by-step explanation:

4/CD=CD/5

CD^2=20

CD=sq rt 20=2sq rt 5

Gabi tried to solve an equation step by step. \qquad\begin{aligned} 0.1(0.5m+6)&=2\\\\ \\ 0.5m+6&=20&\green{\text{Step } 1}\\\\ \\ 0.5m&=14&\blue{\text{Step } 2}\\\\ \\ m&=7&\purple{\text{Step } 3}\\\\ \end{aligned} 0.1(0.5m+6) 0.5m+6 0.5m m ​ =2 =20 =14 =7 ​ Step 1 Step 2 Step 3 ​ Find Gabi's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A \green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b (Choice B) B \blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed (Choice C) C \purple{\text{Step }3}Step 3start color #9d38bd, start text, S, t, e, p, space, end text, 3, end color #9d38bd (Choice D) D Gabi did not make a mistake.

Answers

Answer: Step 3 was Gabi's mistake

The solution of the Gabi's equation is m = 28. the Gabi's mistake was division in step 3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Step 1:  Distribute

0.1(0.5m + 6) = 2

(0.1 * 0.5m) + (0.1 * 6) = 2

0.05m + 0.6 = 2

Step 2:  Subtract 0.6 from both sides

0.05m + 0.6 - 0.6 = 2 - 0.6

0.05m = 1.4

Step 3:  Divide both sides by 0.05

0.05m / 0.05

= 1.4 / 0.05

m = 28

Hence, the solution of the Gabi's equation is m = 28. the Gabi's mistake was division in step 3.

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Owen has a 15 ft ladder, the instructions say that the base of the ladder should be 6 ft from the wall. How high up the wall will the top of the ladder be? Please explain your work. PLS HELP! WILL GIVE BRAINLIEST TO BEST ANSWER! 15 POINTS PER PERSON! PLS HELP QUICKLY!

Answers

Answer:

height = 13.75 feet

Step-by-step explanation:

use the Pythagorean theorem

hypotenuse^2 =base^2 + height^2

15^2 = 6^2+height^2

225 = 36 + height^2

189 = height^2

height = 13.75 feet

Please help quickly!!!!

Answers

Answer:

Step-by-step explanation:

B

What is the coefficient of x²- 36=0
Wich one?

A. a=1,b=0,c=7
B. a=0,b=0.c=36
C. a=1,b=0,C=-36
D. a=1,b=0,c=36
E. a=1,b=1,c=36​

Answers

Answer:

(C)

Step-by-step explanation:

this is a quadratic equation. the form is [tex]ax^2+bx+c=0[/tex]

therefore, a=1, b=0, c=-36

You roll a six-sided die. What is the probability that it is a 5 or an even number? Write your answer as a decimal rounded to the nearest thousandth. The probability is about​

Answers

Answer:

4/6 chance

Step-by-step explanation:

there is a 4/6 probability this will happen

What is the area of this trapezoid?


44 in²

64 in²

168 in²

192 in²

Answers

Answer:

168in2

Step-by-step explanation:

I hope this helps...

Answer:

A = 192 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 12, b₁ = AB = 14 and b₂ = DC = 2 + 14 + 2 = 18, then

A = [tex]\frac{1}{2}[/tex] × 12 × (14 + 18) = 6 × 32 = 192 in²

tristan has 12 ounces of coffee. he drinks 2 ounces. what is the percentage of ounces Tristan has left of his coffee​

Answers

Answer:

Step-by-step explanation:

A polygon is transformed using the rule (x, y) (3x, 3y). Which statement best describes the transformation?

A. An enlargement by a scale factor of 3

B. An enlargement by a scale factor of 1/3.

C. A reduction by a scale factor of 3.

D. A reduction by a scale factor of 1/3.

Answers

Ummmmmm I think is A

Answer:

A) an enlargement by scale factor of 3

Step-by-step explanation:

The measure of an angle is 14 times the
measure of its supplementary angle.
What in the measure of each anale?

Answers

Answer:

The smaller angle is 12 and the larger angle is 168

Step-by-step explanation:

Let call the measure of the random angle a. There is a angle that is 14 times of that and supplementary to that the random angle. So that is represented by

[tex]14a[/tex]

Supplementary Angles add up to 180 degrees so let set up an equation

[tex]a + 14a = 180[/tex]

which equal after you combine like with like

[tex]15a = 180[/tex]

Divide 15 by both sides and a=12 and the so smaller angle is 12 and the larger angle is 168

Calculate angle y
Can somebody work this out?

Answers

Answer:

y = 110

Step-by-step explanation:

ABCD is a cyclic quadrilateral ( its vertices are on the circle )

The opposite angles are supplementary, sum to 180° , then

∠ C = 180° - 70° = 110° , thus

y = 110

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

(3x+1) (x-2)

Step-by-step explanation:

hope this helps!!

Answer:

(3x+1)(x-2)

Step-by-step explanation:

3x² - 5x - 2

= (3x² + x) + (-6x -2)

= x(3x+1) -2(3x+1)

= (x-2)(3x+1)

Plot the image of point B under a dilation about point P with a scale factor of 1/4

Answers

Answer:

When we have a point (x, y) and we have a dilation of scale factor K about the origin, the new coordinates of the point will be:

(k*x, k*y)

In this case we have a dilation about point P, but let's assume that point P is the origin of coordinates.

Then the coordinates of point B will be (8, 12)

Then after the dilation of scale factor of 1/4, the new coordinates will be:

( (1/4)*8,  (1/4)*12) = (8/4, 12/4) = (2, 3)

This means that the dilated point will be 2 units at the right of P, and 3 units above P.

An example image can be seen below.

Answer:

Step-by-step explanation:

Which method can be used to prove ABC = ABD?

SSS or HL?

Answers

it can be solved using HL thereom

Given the function f(x)=-3(x)^2, find the value of f(5).

Answers

Answer:

75

Step-by-step explanation:

you just put the 5 in the x's spot in the equation

y=-3x + 4
y= 3x - 2

Solve using Elimination Method

Answers

Answer:

x=1

y=1

Step-by-step explanation:

-3x+4=3x-2

-3x+3x+4=3x+3x-2

4=6x-2

4+2=6x-2+2

6=6x

x=1

y=3(1)-2

y=1

Renting a canoe in a nautical center costs $ 5 per hour and $ 5 for each additional hour. Determine the equation of the function that reflects this situation.

Answers

Answer: 5 + 5w

Step-by-step explanation:

We can use the variable x to describe each additional hour, although the vairable can be substituted for any other vairable.

We know that the main cost for one hour is $5, and that each additional hour will cost $5.

Therefore, the equation to reflect this situation would be 5 + 5w, because the first 5 represents the first hour, and the 5w represents how much each hour costs. If you rent two extra hours, then the cost would end up being 15, because the equation would become: 5 + (5x2) = 15.

The equation is 5 + 5w. Hope this helps, and good luck!

Audrey and her little brother have been saving money to buy a new gaming system. So far, Audrey has saved $72. Her little brother has saved $9. How many times as much money as her little brother has Audrey saved?

Answers

Answer:

The answer is 648

8 times as much

How many times as much means 9 times what will give us 72.

72 / 9 = 8

Little bro’s $9 x 8 = Audrey’s $72

1. Which function is quadratic?
A 3x – 2y = 5
B 5x2 + x = y - 4

Answers

Answer : B.5x² + x = y - 4

Reason

Because the formula of quadratic equations is y = ax² + bx + c where you can see the only equation with the power of two is equation B

Equation B into quadratic equation

5x² + x = y - 4

y = 5x² + x +4

Function 5x² + x = y - 4 is quadratic .

Hence option B is correct .

Given , Linear and Quadratic function.

Standard form of quadratic function : y = ax² + bx +c

a = coefficient of x² .

b = coefficient of x .

c = constant .

Rearranging the function,

5x² + x = y - 4

y = 5x² + x - 4

Comparing the equation with standard form,

a = 5

b = 1

c = -4

Hence option B is correct .

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3. Enter the x coordinate of the solution to this system of equations. Enter only
the number,
- 3x + y = 4
- 2x + y = 6

Answers

Answer:

I NEED BRAINLIST URGENTLY

Your answer is x=2

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

The Moore family’s backyard is shaped like a trapezoid as shown. The area of the backyard is 8,580 square feet. What is the perimeter of the yard? Explain how you found your answer.

Answers

Answer:

See Explanation

Step-by-step explanation:

Your question do not have enough details for it to be answered. I will solve your question on a general terms using the attached image of a trapezoid

Given

[tex]Area = 8580ft^2[/tex]

From the attachment, we have:

[tex]BC = 100ft[/tex]

[tex]AD = 80ft[/tex]

[tex]h = 60ft[/tex] --- height

The perimeter (P) of a trapezoid is:

[tex]P = AB + BC + CD + AD[/tex]

Substitute values for AD, BC

[tex]P = AB + 100 + CD + 80[/tex]

Collect Like Terms

[tex]P = AB + CD + 80+ 100[/tex]

[tex]P = AB + CD + 180[/tex]

Next, is to calculate the lengths of AB and CD or the sum: AB + CD

The area of a trapezoid is:

[tex]Area = \frac{1}{2}(AB + CD) * h[/tex]

Substitute values for Area and h

[tex]8580= \frac{1}{2}(AB + CD) * 60[/tex]

Multiply both sides by 2

[tex]2*8580= \frac{1}{2}(AB + CD) * 60*2[/tex]

[tex]17160= (AB + CD) * 60[/tex]

Divide both sides by 60

[tex]\frac{17160}{60}= \frac{(AB + CD) * 60}{60}[/tex]

[tex]286 = AB + CD[/tex]

[tex]AB + CD=286[/tex]

Substitute 286 for AB + CD in: [tex]P = AB + CD + 180[/tex]

[tex]P = 286 + 180[/tex]

[tex]P = 466[/tex]

The perimeter of the backyard is 466ft.

The above steps should give you a hint on how to solve your actual question.

How many terms are in this expression?
6q + 7r

Answers

Answer:

3 terms

Step-by-step explanation:

8x + 6 = 2(4x + 3) is there a solution?​

Answers

Answer:

All real numbers would be your solution to this question. <3

Step-by-step explanation:

Answer:

all real numbers are solution

Step-by-step explanation:

ill give brainliest,

The fastest car on Earth, a British-made Thrust SSC, would win ever Nascar race in America. If it takes 0.5 hours (30 minutes to travel 380 miles, what is its speed?

Answers

The answer should be 380/0.5 =760 speed

I'm going to have 3 more of these on my page HELP PLSS ​

Answers

Answer:

1. B

2. A

3. I

4. F

Step-by-step explanation:

1. 8x +15 = 7

minus 15 from 7

8x = -8

divide by 8

x=-1

2. 12x -42 = 18

add 42

12 x = 60

divide by 12

x=5

3. 15 +8x = 47

minus 15

8x = 32

divide by 8

x=4

4. 17 -4x =33

minus 17

-4x = 16

divide by -4

x= -4

Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"?

Answers

Answer:

y^2-(28/7)

or, y^2-(4)

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