Description
x+y=-2
x-y=4
Ordered pair .. if any
Explanation & Answer
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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+y=-2
x-y=4
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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