Question

A) 4x + 5y = 13

5x - 4y = -32

B) 40x + 50y = 130
5x - 4y = 16

C) 20x + 25y = 65
-20x + 16y = 64

D) -4x + 5y = 13
10x - 8y = -32

Answer 1

C) 20x + 25y = 65

−20x + 16y = 64

Step-by-step explanation:

These two systems are relatively proportionate to each other because the bottom equation was multiplied by −2, while the top equation was multiplied by 5 in order to get two additive-inverse coefficients to eliminate with their variables, which in this case are −20x and 20x. Additive inverses result in zero.

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