To check if an ordered pair (x, y) is a solution to the equation 7x - 5y = 28, substitute the values of x and y into the equation and see if it results in a true statement.
Let's check each ordered pair:
1. (7, 9)
Substituting x = 7 and y = 9:
7(7) - 5(9) = 49 - 45 = 4
4 does not equal 28.
2. (-1, -7)
Substituting x = -1 and y = -7:
7(-1) - 5(-7) = -7 + 35 = 28
28 equals 28.
3. (-6, -14)
Substituting x = -6 and y = -14:
7(-6) - 5(-14) = -42 + 70 = 28
28 equals 28.
4. (4, 10)
Substituting x = 4 and y = 10:
7(4) - 5(10) = 28 - 50 = -22
-22 does not equal 28.
Therefore, the correct ordered pairs that are solutions to the equation are:
(−1, −7)
(−6, −14)