[tex]-3x + y = 2[/tex]
[tex]-x + y - 4 = 0[/tex]
Move the 4 in the second equation to the right
[tex]-3x + y = 2[/tex]
[tex]-x + y=4[/tex]
Subtract equations.
[tex]-3x-(-x)+(y-y)=2-4[/tex]
[tex]-2x=-2[/tex]
[tex]x=1[/tex]
Plug in x-value in either original equation:
I will choose the second: [tex]-x + y - 4 = 0[/tex]
[tex]-1+y-4=0[/tex]
[tex]y=5;x=1[/tex]