Question

Which ordered pair is a solution of the equation y = –7x + 2?
(1 point)
Responses
A. (1, 2)
B. (8, -54)
C. (5, -35)
D. (1, -7)

Answer 1

–4 = g + 1?

Answer 2

To check which ordered pair is a solution of the equation y = -7x + 2, plug in the x-coordinate of each ordered pair into the equation and see if the resulting y-coordinate matches.

Let's check each option:

For option A - (1, 2):
y = -7x + 2
2 = -7(1) + 2
2 = -7 + 2
2 = -5

Since 2 does not equal -5, option A is not a solution.

For option B - (8, -54):
y = -7x + 2
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54

Since -54 is equal to -54, option B is a solution.

For option C - (5, -35):
y = -7x + 2
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33

Since -35 does not equal -33, option C is not a solution.

For option D - (1, -7):
y = -7x + 2
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5

Since -7 does not equal -5, option D is not a solution.

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

Answer 3

To solve the equation –4 = g + 1, you need to isolate the variable g.

First, subtract 1 from both sides of the equation:
–4 - 1 = g + 1 - 1
–5 = g

Therefore, the solution to the equation –4 = g + 1 is g = -5.