Final answer:
To determine the solution of the equation y = 7x - 2, substitute the coordinates into the equation and check if it holds true. Neither (3, 15) nor (-1, -10) are solutions.
Step-by-step explanation:
To determine which ordered pair is a solution of the equation y = 7x - 2, we substitute the values of x and y into the equation and check if it holds true. Let's plug in the coordinates of each ordered pair and see:
- For the ordered pair (3, 15), substituting x = 3 and y = 15 into the equation, we get 15 = 7(3) - 2, which simplifies to 15 = 21 - 2, and further simplifies to 15 = 19. Since 15 does not equal 19, this ordered pair is not a solution.
- For the ordered pair (-1, -10), substituting x = -1 and y = -10 into the equation, we get -10 = 7(-1) - 2, which simplifies to -10 = -7 - 2, and further simplifies to -10 = -9. Since -10 does not equal -9, this ordered pair is also not a solution.
Therefore, neither (3, 15) nor (-1, -10) are solutions of the equation y = 7x - 2.
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