Which ordered pairs in the form (x, y) are solutions to the equation

7x – 5y = 28?
*Choose all that apply*
(−6, −14)**
(−1, −7)
(4, 10)
(7, 9)

7(-6) - 5(-14) = -42 + 70 = 28

ok

What about the others? You have not found them all yet.

(-1, -7)?

good work.

thank you! :)

To determine which ordered pairs are solutions to the equation 7x - 5y = 28, we can substitute the values of x and y into the equation and check if the equation holds true.

Taking each option, we can substitute the values in the equation:

For option (-6, -14):
7*(-6) - 5*(-14) = 28
-42 + 70 = 28
28 = 28
The equation holds true, so (-6, -14) is a solution.

For option (-1, -7):
7*(-1) - 5*(-7) = 28
-7 + 35 = 28
28 = 28
The equation holds true, so (-1, -7) is a solution.

For option (4, 10):
7*(4) - 5*(10) = 28
28 - 50 = 28
-22 = 28
The equation does not hold true, so (4, 10) is not a solution.

For option (7, 9):
7*(7) - 5*(9) = 28
49 - 45 = 28
4 = 28
The equation does not hold true, so (7, 9) is not a solution.

Therefore, the solutions to the equation 7x - 5y = 28 are (-6, -14) and (-1, -7).