which ordered pair is a solution of the equation y=-7x+2

a. (1,2)
b. (8,-54)
c. (5,-35)
d. (1,-7)

1 answer

To determine if an ordered pair is a solution to the equation y = -7x + 2, we substitute the values of x and y from the ordered pair into the equation and check if the equation is true.

a. (1,2)
Substituting x = 1 and y = 2 into the equation:
2 = -7(1) + 2
2 = -7 + 2
2 = -5 (Not true)

b. (8,-54)
Substituting x = 8 and y = -54 into the equation:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54 (True)

c. (5,-35)
Substituting x = 5 and y = -35 into the equation:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33 (Not true)

d. (1,-7)
Substituting x = 1 and y = -7 into the equation:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5 (Not true)

Therefore, the ordered pair (8, -54) is a solution to the equation y = -7x + 2. The correct answer is b. (8, -54).
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