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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)
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)
Step 3: Substitute x=4 into equation 1
4+y=2 (subtract 4 from both sides)
step 4: check your work
Thus our ordered pair is (4,-2).
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