5. Answer: (-3, 2)
Explanation:
In order to use the substitution method, you need to solve for one of the variables.
2x + 4y = 2
x + y = -1 → y = -x - 1
2x + 4(-x - 1) = 2
2x - 4x - 4 = 2
-2x - 4 = 2
-2x = 6
x = -3
y = -x - 1
= -(-3) - 1
= 3 - 1
= 2
Check:
2x + 4y = 2
2(-3) + 4(2) = 2
-6 + 8 = 2
2 = 2
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