Which ordered pair is a solution of the equation?
-4x+7=2y-3

a- only (2,1)
b- only (5,-5)
c- both (2,1) and (5,-5)
d- neither

Step 1: Rewrite the equation

-4x + 7 = 2y - 3

Step 2: Given that you already have possible solutions, substitute them in for x and y

A) -4(2) + 7 = 2(1) - 3

-8 + 7 = 2 - 3
-1 = -1

B) -4(5) + 7 = 2(-5) -3
-20 + 7 = -10 -3
-13 = -13

Step 3 (final step): When looking at these two solutions, you see that both A and B work, as the result is equal on both sides. This would make the final

C) Both (2,1) and (5,-5)

With the explanation above as shown work

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