Which ordered pair is a solution of the equation?

Question

-3x+5y=2x+3y

2,4
3,3
both neither

Answer 1

To determine which ordered pair is a solution of the equation, we can substitute the x and y values into the equation and see if it holds true.

1) For the ordered pair (2,4):
-3(2) + 5(4) = 2(2) + 3(4)
-6 + 20 = 4 + 12
14 = 16
Since 14 is not equal to 16, the ordered pair (2,4) is not a solution of the equation.

2) For the ordered pair (3,3):
-3(3) + 5(3) = 2(3) + 3(3)
-9 + 15 = 6 + 9
6 = 15
Since 6 is not equal to 15, the ordered pair (3,3) is not a solution of the equation.

Since neither of the ordered pairs satisfy the equation, the answer is "neither."