Y - x = - 13 - 4x + 3y = - 51

Y - x = - 13

-4x + 3y = - 51

Use any of the equation to find the value of x or y. In this case, I'll use the 1st equation to find the value of y.

y - x = - 13

y = x - 13

Substitute the value of y in the 2nd equation to find the value of x.

-14x + 3y = - 51

-14x + 3 (x-13) = - 51

-14x + 3x - 39 = - 51

-11x = - 51 + 39

-11x = - 12

x = 12/11 or 1 1/11

Substitute the value of x in any equation to find the value of y.

y = x - 13

y = 12/11 - 13

y = 12/11 - (13*11/11) * to get the common denominator

y = (12 - 143) / 11 = - 131/11 = 11 10/11

to check: x = 12/11 or 1 1/11; y = - 131/11 or 11 10/11

y - x = - 13

-131/11 - 12/11 = - 13

(-131 - 12) / 11 = - 13

-143/11 = - 13

-13 = - 13