determine which of the following ordered pits is a solution to the equation

3x - 8 = -4y

1 answer

To determine which of the following ordered pairs is a solution to the equation 3x - 8 = -4y, we can substitute the x and y values into the equation and see if it holds true.

Let's check each ordered pair:

1) (2, 1):
3(2) - 8 = -4(1)
6 - 8 = -4
-2 = -4

The equation is not true for the ordered pair (2, 1).

2) (-1, 2):
3(-1) - 8 = -4(2)
-3 - 8 = -8
-11 = -8

The equation is not true for the ordered pair (-1, 2).

3) (4, -2):
3(4) - 8 = -4(-2)
12 - 8 = 8
4 = 8

The equation is not true for the ordered pair (4, -2).

4) (-5, 3):
3(-5) - 8 = -4(3)
-15 - 8 = -12
-23 = -12

The equation is not true for the ordered pair (-5, 3).

Therefore, none of the given ordered pairs (2, 1), (-1, 2), (4, -2), or (-5, 3) are solutions to the equation 3x - 8 = -4y.