x+y=2

x+4y=-4

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Let's do this by the substitution method.

Step 1: Solve for x or y in either equation. let's solve for y in equation 1

x+y=2 (subtract x from both sides)

y=-x+2

Step 2: Substitute y=-x+2 into equation 2

x+4(-x+2)=-4 (distribute the 4 to the stuff inside the parenthesis)

x-4x+8=-4 (combine like terms)

-3x+8=-4 (subtract 8 from both sides

-3x=-12 (divide by -3 to both sides)

x=4

Step 3: Substitute x=4 into equation 1

4+y=2 (subtract 4 from both sides)

y=-2

step 4: check your work

4-2=2 check!

4+4(-2)=-4 check!

Thus our ordered pair is (4,-2).

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