For each ordered pair, determine whether it is a solution to 7x - 2y = 13.

Is it a solution?

Yes No
(-5, 0)
(1, -3)
(3, 4)
(-2, 5)

1 answer

To determine if each ordered pair is a solution to the equation 7x - 2y = 13, we substitute the x and y values and check if the equation is satisfied.

1. (-5, 0):
7(-5) - 2(0) = -35. Since -35 is not equal to 13, this ordered pair is not a solution.

2. (1, -3):
7(1) - 2(-3) = 13. Since 13 is equal to 13, this ordered pair is a solution.

3. (3, 4):
7(3) - 2(4) = 13. Since 13 is equal to 13, this ordered pair is a solution.

4. (-2, 5):
7(-2) - 2(5) = -14 - 10 = -24. Since -24 is not equal to 13, this ordered pair is not a solution.

The solutions are:
(-5, 0) - No
(1, -3) - Yes
(3, 4) - Yes
(-2, 5) - No