x+y=-2

x-y=4

Ordered pair .. if any

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The goal of the elimination method is to get common coefficient, and then subtract the two equations.

Step 1: Notice 1x has the same coefficient as 1x. So, we just need to simply subtract the two equations.

x-x=0

y-(-y)=2y

-2-4=-6

2y=-6 (divide by 2 from both sides)

y=-3

Step 2: Substitute y=3 into equation 1 to solve for x

x-3=-2 (add 3 from both sides)

x=1

Step 3: Check your work

-3+1=-2 check!

1-(-3)=4 check!

Thus our order pair is (1,-3)

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