#### Answer

$(2, 4)$

#### Work Step by Step

$3.5x+2.5y=17$
$-1.5x-7.5y=-33$
Multiply both equations by 2.
$7x+5y=34$
$-3x-15y=-66$
Multiply the first equation by 3.
$21x+15y=102$
$-3x-15y=-66$
Add both equations.
$18x=36$
$x=2$
Solve for $y$.
$3.5x+2.5y=17$
$3.5(2)+2.5y=17$
$7+2.5y=17$
$2.5y=10$
$y=4$
$x=2; y=4$
$(2, 4)$