Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point) Responses (−1,1) left parenthesis negative 1 comma 1 right parenthesis (0,2) left parenthesis 0 comma 2 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (1,1)
To determine which of the ordered pairs is a solution to the equation 3x - 8 = -4y, substitute the x and y values into the equation and see if it holds true.
For the ordered pair (-1,1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 ≠ -4
For the ordered pair (0,2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
For the ordered pair (0,-2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 ≠ 8
For the ordered pair (1,1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
Therefore, the only ordered pair that is a solution to the equation is (0,2).