Question

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

(0,2)
left parenthesis 0 comma 2 right parenthesis

(−1,1)
left parenthesis negative 1 comma 1 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(1,1)

Answer 1

To determine which ordered pair is a solution to the equation, we substitute the values of x and y into the equation and check if it is true.

For the first ordered pair (0,2), if we substitute x=0 and y=2 into the equation, we get:
3(0) - 8 = -4(2)
0 - 8 = -8
This equation is not true, so (0,2) is not a solution.

For the second ordered pair (-1,1), if we substitute x=-1 and y=1 into the equation, we get:
3(-1) - 8 = -4(1)
-3 - 8 = -4
This equation is not true, so (-1,1) is not a solution.

For the third ordered pair (0,-2), if we substitute x=0 and y=-2 into the equation, we get:
3(0) - 8 = -4(-2)
0 - 8 = 8
This equation is not true, so (0,-2) is not a solution.

For the fourth ordered pair (1,1), if we substitute x=1 and y=1 into the equation, we get:
3(1) - 8 = -4(1)
3 - 8 = -4
This equation is true, so (1,1) is a solution.

Therefore, the ordered pair (1,1) is a solution to the equation 3x-8=-4y.