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2 years ago

Find the solution of the system of equations. - 3x + 4y = 12 2.x + 2y = -22

Mathematics

1 answer:

Nikitich [7]2 years ago

8 0

Answer:

x = -8

y = -3

Step-by-step explanation:

So first you're going to want to get x or y by itself using elimination or substitution. I used elimination to get x by itself.

You can multiply the second equation (2x + 2y = -22) by -2 so you can eliminate the y's. When you multiply it, you get -4x - 4y = 44

Then, you can add -3x + 4y = 12 and -4x - 4y = 44. The y's cancel out to leave -7x = 56. Divide both sides by -7 to get x = -8.

Now, you can plug in -8 for x in either one of the equations. I plugged it into the second equation to make it 2(-8) + 2y = -22.

2 · -8 = -16.

-16 + 2y = -22. Add 16 to both sides to get 2y = -6. Divide both sides by to get y = -3.

Hope this helps! :)

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3 years ago

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AfilCa [17]

Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

Both triangles are identical
Both rectangles are different
There are values in units^2 given
There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation A = 1/2(bh)

Substitute A = 1/2(4*3)

Simplify A = 1/2(12)

Solve A = 6

Double *2

A = 12 u^2

Rectangles

Set up equation A = lh

Substitute A = (14)(3)

Simplify A = 42 u^2

Set up equation A = lh

Substitute A = [14-(4+4)](3)

Simplify A = (14-8)(3)

Simplify A = (6)(3)

Multiply A = 18 u^2

Total Area

Set up equation A = R1+R2+T

Substitute A = 42 + 18 + 12

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<h3>Answer: 72 u^2</h3>

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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