Which ordered pair is a solution of the equation?

-3x + 4y = 14

2,5
4,6
both
neither

1 answer

To determine which ordered pair is a solution of the equation -3x + 4y = 14, we substitute the values into the equation and check if they make the equation true.

Substituting the values (2, 5) into the equation:

-3(2) + 4(5) = 14

-6 + 20 = 14

14 = 14

Since the equation is true when substituting (2, 5), (2, 5) is a solution of the equation -3x + 4y = 14.

Substituting the values (4, 6) into the equation:

-3(4) + 4(6) = 14

-12 + 24 = 14

12 ≠ 14

Since the equation is not true when substituting (4, 6), (4, 6) is not a solution of the equation -3x + 4y = 14.

Therefore, the ordered pair (2, 5) is the solution of the equation -3x + 4y = 14. The correct answer is "2,5."
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