To determine which ordered pairs are solutions to the equation 3x - 8 = -4y, we substitute the x and y values of each ordered pair into the equation and check if the equation is true.
For the ordered pair (-1, 1), we substitute x = -1 and y = 1 into the equation:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
The equation is not true, so (-1, 1) is not a solution.
For the ordered pair (0, 2), we substitute x = 0 and y = 2 into the equation:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
The equation is true, so (0, 2) is a solution.
For the ordered pair (0, -2), we substitute x = 0 and y = -2 into the equation:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
The equation is not true, so (0, -2) is not a solution.
For the ordered pair (1, 1), we substitute x = 1 and y = 1 into the equation:
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
The equation is not true, so (1, 1) is not a solution.
Therefore, the only solution to the equation 3x - 8 = -4y is the ordered pair (0, 2).
Determine which of the following ordered pairs is a solution to the equation 3x - 8 = -4y.
• (-1,1)
• (0,2)
• (0,-2)
• (1,1)
1 answer
1 answer