Answer
$(3,1)$
Work Step by Step
Green line: $x+y=4$
Purple line: $x-y=2$
$x-y=2$
$x=2+y$
$x+y=4$
$(2+y)+y=4$
$2+y+y=4$
$2+2y=4$
$2y=2$
$2y/2 =2/2$
$y=1$
$x+y=4$
$x+1=4$
$x=3$
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