Solve system by substitution

-5x+3y=12

-6x+y=-4

-6x + y = - 4 / + 6x;

y = 6x - 4;

We substitute y in first equation : - 5x + 3 (6x - 4) = 12;

-5x + 18x - 12 = 12;

13x - 12 = 12;

13x = 24;

x = 24 / 13;

y = 6 * (24 / 13) - 4;

y = 144 / 13 - 4;

y = 144 / 13 - 52 / 13;

y = 92 / 13;

The solution is x = 24 / 13 and y = 92 / 13;