Final answer:
The correct ordered pair that is a solution to the equation y = 5x - 7 is (2, 3), as substituting x = 2 into the equation gives y = 3, which matches the ordered pair.
Step-by-step explanation:
The question asks to determine which ordered pair is a solution to the equation y = 5x - 7. To find the correct ordered pair, we plug in the x-value of each pair into the equation and check if the resulting y-value matches the one in the pair.
- For (2, -3): y = 5(2) - 7 = 10 - 7 = 3, which does not match the y-value in the pair.
- For (3, -2): y = 5(3) - 7 = 15 - 7 = 8, which does not match the y-value in the pair.
- For (1, -1): y = 5(1) - 7 = 5 - 7 = -2, which does not match the y-value in the pair.
- For (2, 3): y = 5(2) - 7 = 10 - 7 = 3, which matches the y-value in the pair.
Therefore, the correct answer is the ordered pair (2, 3), which makes it the solution to the equation.