Question

For each ordered pair, determine whether it is a solution to 4x - 3y = 32.

A. (5, -4)
B. (5, 4)
C. (2, -4)
D. (0, -8)
E. (8, 0)
F. (-1, -12)

Answer 1

The ordered pairs (5, -4), (8, 0), and (-1, -12) are solutions to the equation 4x - 3y = 32.

Step-by-step explanation:

To determine whether each ordered pair is a solution to the linear equation 4x - 3y = 32, we need to plug the values of x and y from each pair into the equation and see if the equation holds true.

1. For the pair (5, -4), we substitute x with 5 and y with -4:
   4(5) - 3(-4) = 20 + 12 = 32, which is true. So, (5, -4) is a solution.
2. For the pair (5, 4), substitute x with 5 and y with 4:
   4(5) - 3(4) = 20 - 12 = 8, which is false. So, (5, 4) is not a solution.
3. For the pair (2, -4), substitute x with 2 and y with -4:
   4(2) - 3(-4) = 8 + 12 = 20, which is false. So, (2, -4) is not a solution.
4. For the pair (0, -8), substitute x with 0 and y with -8:
   4(0) - 3(-8) = 0 + 24 = 24, which is false. So, (0, -8) is not a solution.
5. For the pair (8, 0), substitute x with 8 and y with 0:
   4(8) - 3(0) = 32 - 0 = 32, which is true. So, (8, 0) is a solution.
6. For the pair (-1, -12), substitute x with -1 and y with -12:
   4(-1) - 3(-12) = -4 + 36 = 32, which is true. So, (-1, -12) is a solution.

In summary, the ordered pairs (5, -4), (8, 0), and (-1, -12) are solutions to the equation