Final answer:
To determine if an ordered pair is a solution to the equation 7x + 5y = 9, substitute the x and y values into the equation and see if both sides are equal. The ordered pairs (-3, 6) and (2, -1) are solutions to the equation.
Step-by-step explanation:
To determine if an ordered pair is a solution to the equation 7x + 5y = 9, substitute the x and y values into the equation and see if both sides are equal. Let's check each ordered pair:
- (-4, -3): 7(-4) + 5(-3) = -28 - 15 = -43 ≠ 9, so it is not a solution.
- (-3, 6): 7(-3) + 5(6) = -21 + 30 = 9, so it is a solution.
- (5, 0): 7(5) + 5(0) = 35 + 0 = 35 ≠ 9, so it is not a solution.
- (2, -1): 7(2) + 5(-1) = 14 - 5 = 9, so it is a solution.
Therefore, the ordered pairs (-3, 6) and (2, -1) are solutions to the equation.