Question

Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point)

Responses

(0,2)

(−1,1)

(1,1)

(0,−2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we substitute the x and y values into the equation and see which pair satisfies the equation.

Using the first ordered pair (0, 2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8

The equation is satisfied, so (0, 2) is a solution.

Using the second ordered pair (-1, 1):
3(-1)-8 = -4(1)
-3 - 8 = -4
-11 ≠ -4

The equation is not satisfied, so (−1, 1) is not a solution.

Using the third ordered pair (1, 1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 ≠ -4

The equation is not satisfied, so (1, 1) is not a solution.

Using the fourth ordered pair (0, -2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 ≠ 8

The equation is not satisfied, so (0, −2) is not a solution.

Therefore, the only ordered pair that is a solution to the equation 3x - 8 = -4y is (0, 2).