Question

Which ordered pair is a solution of the equation 7x-2y=-5?

1) (a) (1,5)
2) (b) (-1,1)
3) (c) Both (1,5) and (-1,1)
4) (d) Neither

Answer 1

The ordered pairs (1, 5) and (-1, 1) both do not satisfy the equation 7x-2y=-5. After substituting these pairs into the equation, neither results in the equation being true. Thus, the correct answer is (d) Neither.

Step-by-step explanation:

To determine which ordered pair is a solution of the equation 7x-2y=-5, we can plug each ordered pair into the equation and see if it satisfies the equation.

1. For the ordered pair (1, 5), we substitute x = 1 and y = 5 into the equation: 7(1) - 2(5) = 7 - 10 = -3. This does not equal -5, so (1, 5) is not a solution.
2. For the ordered pair (-1, 1), we substitute x = -1 and y = 1 into the equation: 7(-1) - 2(1) = -7 - 2 = -9. This is also not equal to -5, hence (-1, 1) is not a solution.

Since neither ordered pair makes the equation true, the correct answer is (d) Neither.