Answer
$ x=5, y=2 $
Work Step by Step
To solve this system, first simply the first equation so that x is separated on the other side of the '=' symbol. Then, substitute 'y+3' for x in the second equation, and solve. After getting the 'y' value, substitute that into the first equation, and you can get the 'x' value.
$ 4y+3=3y+x = x=y+3 $
$ 2x+4y=18 $
$2(y+3)+4y=18 $
$2y+6+4y=18 $
$6y+6=18 $
$6y=12 $
$y=2$
$x=y+3$
$x=2+3 $
$x=5 $