Question

For each ordered pair, determine whether it is a solution to 2x-9y=15

(3,-1)
(7,5)
(-5,2)
(-6,-3)

Answer 1

To determine whether each ordered pair is a solution to the equation 2x - 9y = 15, we need to substitute the x and y values into the equation and check if the equation holds true.

For the ordered pair (3, -1):
2(3) - 9(-1) = 6 + 9 = 15
Since 15 is equal to 15, this ordered pair is a solution to the equation 2x - 9y = 15.

For the ordered pair (7, 5):
2(7) - 9(5) = 14 - 45 = -31
Since -31 is not equal to 15, this ordered pair is not a solution to the equation 2x - 9y = 15.

For the ordered pair (-5, 2):
2(-5) - 9(2) = -10 - 18 = -28
Since -28 is not equal to 15, this ordered pair is not a solution to the equation 2x - 9y = 15.

For the ordered pair (-6, -3):
2(-6) - 9(-3) = -12 + 27 = 15
Since 15 is equal to 15, this ordered pair is a solution to the equation 2x - 9y = 15.

In summary:
- The ordered pair (3, -1) is a solution to the equation 2x - 9y = 15.
- The ordered pair (7, 5) is not a solution to the equation 2x - 9y = 15.
- The ordered pair (-5, 2) is not a solution to the equation 2x - 9y = 15.
- The ordered pair (-6, -3) is a solution to the equation 2x - 9y = 15.