Question

Which ordered pair is a solution of this equation: X - y = 6?

a) (1, -4)
b) (-2, -3)
c) (4, -2)
d) (3, -2)

Answer 1

The solution to the equation X - Y = 6 is the ordered pair (c) (4, -2), as it is the only one that satisfies the equation when the values are substituted in.

Step-by-step explanation:

The task is to find which ordered pair is a solution to the equation X - Y = 6. Checking each option step-by-step:

• For (a) (1, -4), substitute into the equation: 1 - (-4) = 1 + 4 = 5. This does not equal 6, so (a) is not a solution.
• For (b) (-2, -3), substitute into the equation: (-2) - (-3) = -2 + 3 = 1. This does not equal 6, so (b) is not a solution.
• For (c) (4, -2), substitute into the equation: 4 - (-2) = 4 + 2 = 6. This equals 6, so (c) is a solution.
• For (d) (3, -2), substitute into the equation: 3 - (-2) = 3 + 2 = 5. This does not equal 6, so (d) is not a solution.

Therefore, the answer is (c) (4, -2) as it satisfies the equation X - Y = 6.