Find the solution to the system of equation -2x+2y=-4 3x+3y=-18

  (x, y) = (-2, -4)

Step-by-step explanation:

I like to start by putting the equations into standard form. That requires removing any common factors and making the leading coefficient positive.

  -2x +2y = -4   ⇒   x -y = 2 . . . . . . divide by -2

  3x +3y = -18   ⇒   x +y = -6 . . . . . divide by 3

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Now, we can add these two equations to eliminate y:

  (x -y) +(x +y) = (2) +(-6)

  2x = -4 . . . . simplify

  x = -2 . . . . . divide by 2

Substituting into the second equation gives ...

  -2 +y = -6

  y = -4 . . . . . add 2

The solution to the system of equations is (x, y) = (-2, -4).

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step-by-step explanation: