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
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(−1,1)
left parenthesis negative 1 comma 1 right parenthesis
(0,2)
To determine which ordered pairs are solutions to the equation 3x - 8 = -4y, we need to substitute the x and y values into the equation and check if the equation holds true.
Let's test each ordered pair:
1. For (1, 1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
The equation does not hold true for (1, 1).
2. For (0, -2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
The equation does not hold true for (0, -2).
3. For (-1, 1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
The equation does not hold true for (-1, 1).
4. For (0, 2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
The equation holds true for (0, 2).
Therefore, the ordered pair that is a solution to the equation 3x - 8 = -4y is (0, 2).