Question

Which ordered pair is a solution of the equation −3x+4y=14?

a) (2, 5)
b) (4, 6)
c) Both (2, 5) and (4, 6)
d) Neither

Answer 1

To find which ordered pair is a solution, each pair is substituted into the equation −3x+4y=14. Only the ordered pair (2, 5) satisfies the equation, making it the correct solution.

Step-by-step explanation:

The question asks to identify which ordered pair is a solution for the linear equation −3x+4y=14. To verify, we substitute each ordered pair into the equation.

1. For the pair (2, 5), substituting x = 2 and y = 5 yields: −3(2) + 4(5) = −6 + 20 = 14, which is true.
2. For the pair (4, 6), substituting x = 4 and y = 6 yields: −3(4) + 4(6) = −12 + 24 = 12, which is not true.

Thus, option a) (2, 5) is the correct answer, as only this ordered pair satisfies the equation.