SOLUTION: Explain the process of using elimination to solve a system of equations.

Question 616551: Explain the process of using elimination to solve a system of equations.

Answer by ladyluck4772(11) (Show Source): You can put this solution on YOUR website!
You can do this by using addition. Start with the following equations:
2x - y =20
2x + y =12

Now add going down the rows which equals:

4x = 32

The y's cancel out because y - y = 0, now divide both
sidesby 4

x = 8

Now we will use substituion to solve for y

Let's do this by using the smaller equation.

2x + y = 12

We know that x = 8, so substitute 8 for x

2(8) + y = 12
16 + y = 12

Subtract 16 from both sides to get y by itself

y = -4

You can check the answers for x and y by substituting the answers back into the original equations to make sure they equal out.

2x + y = 12
2(8) + (-4) = 12
16 - 4 = 12
12 = 12

2x - y + 20
2(8) - (-4) = 20
16 + 4 = 20
20 = 20
So your solution is (8,-4)
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