Question

Which ordered pair is a solution of the equation y = –7x + 2?
Responses

(1, 2)

(8, –54)

(5, –35)

(1, –7)

Answer 1

To determine which ordered pair is a solution of the equation y = -7x + 2, substitute the given x and y values into the equation and check if they are true.

For the first ordered pair (1, 2), we have:
y = -7x + 2
2 = -7(1) + 2
2 = -7 + 2
2 = -5
Since -5 is not equal to 2, (1, 2) is not a solution of the equation.

For the second ordered pair (8, -54), we have:
y = -7x + 2
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
Since -54 is equal to -54, (8, -54) is a solution of the equation.

For the third ordered pair (5, -35), we have:
y = -7x + 2
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
Since -33 is not equal to -35, (5, -35) is not a solution of the equation.

For the fourth ordered pair (1, -7), we have:
y = -7x + 2
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
Since -5 is not equal to -7, (1, -7) is not a solution of the equation.

Therefore, the only ordered pair that is a solution of the equation y = -7x + 2 is (8, -54).