Which of the following ordered pairs is part of the solution set for the equation y = 2x + 5

A. (7, 1)
B. (1, 7)
C. (3, -1)
D. (1, 2)

1 answer

To determine which ordered pairs are part of the solution set for the equation \( y = 2x + 5 \), we can substitute the \( x \) values from each ordered pair into the equation and check if the corresponding \( y \) value matches the result.

  1. For (7, 1): \[ y = 2(7) + 5 = 14 + 5 = 19 \] Not equal to 1.

  2. For (1, 7): \[ y = 2(1) + 5 = 2 + 5 = 7 \] Equal to 7.

  3. For (3, -1): \[ y = 2(3) + 5 = 6 + 5 = 11 \] Not equal to -1.

  4. For (1, 2): \[ y = 2(1) + 5 = 2 + 5 = 7 \] Not equal to 2.

The only pair that satisfies the equation is (1, 7), so the answer is B. (1, 7).