Which ordered pair is a solution of the equation?
-3x + 4y = 14
2,5
4,6
both
neither
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."