#### Answer

The solution is
$x=-1 $ and $y=2 $.

#### Work Step by Step

The given equations are
$ x=3y-7 $ ... (1)
$ 4x+3y=2 $ ... (2)
Substitute the value of $x$ from equation (1) to (2).
$ 4(3y-7)+3y=2 $
$ 12y-28+3y=2 $
$ 15y=2+28 $
$15y=30 $
$ y=\frac{30}{15} $
$ y=2 $ Substitute into equation (1).
$x=3(2)-7$
$x=6-7 $
$x=-1$