#### Answer

$x=-2$
$y=5$
(-2, 5)

#### Work Step by Step

$-x + 3y = 17$
$4x + 3y = 7$
Subtract the second equation from the first one.
$-x + 3y - (4x + 3y) = 17 - 7$
$-x -4x +3y -3y = 10$
$-5x = 10$
$x = -2$
Substitute x in the first equation to get y
$-(-2)+3y=17$
$2+3y=17$
$3y=15$
$y=5$