-4x + 9y = 9
X - 3y = -6

  (x, y) = (9, 5)

Step-by-step explanation:

We can add 4 times the second equation to the first to eliminate x:

  (-4x +9y) +4(x -3y) = (9) +4(-6)

  -3y = -15 . . . . . . simplify

  y = -15/-3 = 5 . . . . divide by -3

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Substituting that into the second equation, we can find x:

  x -3(5) = -6

  x = 9 . . . . . . . add 15

The ordered pair that satisfies both equations is ...

  (x, y) = (9, 5)