x+2y-37=7, x+y+7=2, 2x-y+27=1

Question

1) solve the following system of linear equation using matrices . 2) also using this 2nd method x=∆x/∆A y=∆y/∆A z=∆z/∆A

Answer 1

I assume that there is a missing z in each equation.

If that is the case, the solution using matrices and determinants is x=255/119, y=67/119, z=-12/119.

CHECK

Plug these values into the original equations:

(255+134+444)/119=833/119=7; (255+67-84)/119=238/119=2; (510-67-324)/119=119/119=1. So all equations are satisfied. The solution is correct.