Solve the system of linear equations -x=-6y+19 4=-4x-12y

(x, y) = (-7, 2)

Divide the second equation by 4 and add it to the first.

... (-x) +(4)/4 = (-6y+19) +(-4x -12y)/4

... -x +1 = -9y -x +19 . . . . simplify

... 9y = 18 . . . . . . . add 9y +x -1

... y = 2 . . . . . . . . . divide by 9

... -x = -6·2 +19 = 7

... x = -7

The solution is (x, y) = (-7, 2).