Answer :

[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]

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