Solve by setting the coefficient the same.

  (x, y) = (-4, -4)

Step-by-step explanation:

The coefficients of x will be the same if we multiply the first equation by 3:

  -9x +21y = -48

Now, we can solve the system by subtracting the second equation. Since the coefficients of x are the same, the subtraction eliminates x from the equation.

  (-9x +21y) - (-9x +5y) = (-48) - (16)

  16y = -64 . . . . . . simplify

  y = -4 . . . . . . . . . divide by 16

Substituting this value into the first equation, we get ...

  -3x +7(-4) = -16

  -3x = 12 . . . . . . . add 28

  x = -4 . . . . . . . . . divide by -3

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