solve the system

Question

. 

Solve the system.

 

            -2x + 1/2y = 3/2

 

             x - 3y  = 2

Answer 1

After multiplying 1st eqn by 2:

-4x + y = 3

x - 3y = 2

Multiply 1st eqn by 3 to use elimination method (could also multiply 2nd eqn by 4 instead)

-12x + 3y = 9

x - 3y = 2

-11x = 11 → x = -1

Now you can solve for y and check answers. Also suggest you try plugging the original equations into the Desmos Graphing Calculator website for a visual solution.