Question

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

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

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

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

(0,2)

Answer 1

To determine if an ordered pair is a solution to the equation 3x-8 = -4y, substitute the values of x and y into the equation and see if it satisfies the equation.

Let's check each ordered pair:

1) (1, 1)
Substituting x=1 and y=1 into the equation 3x-8 = -4y:
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4

Since -5 is not equal to -4, (1, 1) is not a solution to the equation.

2) (-1, 1)
Substituting x=-1 and y=1 into the equation 3x-8 = -4y:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4

Since -11 is not equal to -4, (-1, 1) is not a solution to the equation.

3) (0, -2)
Substituting x=0 and y=-2 into the equation 3x-8 = -4y:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8

Since -8 is not equal to 8, (0, -2) is not a solution to the equation.

4) (0, 2)
Substituting x=0 and y=2 into the equation 3x-8 = -4y:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8

Since -8 is equal to -8, (0, 2) is a solution to the equation.

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