Question

Which ordered pair is a solution of the equation -3x + 5y = 2x + 3y?

1) (2,4)
2) (3,3)
3) both (2,4) and (3,3)
4) neither

Answer 1

To find the solution of the equation -3x + 5y = 2x + 3y, substitute the x and y values from each given ordered pair and check if the equation holds true. Neither (2,4) nor (3,3) is a solution.

Step-by-step explanation:

To determine which ordered pair is a solution of the equation -3x + 5y = 2x + 3y, we need to substitute the x and y values from each ordered pair into the equation and see if the equation holds true.

For (2,4): -3(2) + 5(4) = 2(2) + 3(4) => -6 + 20 = 4 + 12 => 14 = 16.

This is not true, so (2,4) is not a solution.

For (3,3): -3(3) + 5(3) = 2(3) + 3(3) => -9 + 15 = 6 + 9 => 6 = 15.

This is not true, so (3,3) is not a solution.

Neither (2,4) nor (3,3) is a solution of the equation.

Therefore, the correct answer is 4) neither.