Answer
$(5,4)$
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $-3x+5y=5$
Green line: $2x-3y=-2$
Purple line:
$-3x+5y=5$
$-3x+5y+3x=5+3x$
$5y=3x+5$
$5y/5=(3x+5)/5$
$y=3/5*x+1$
Green line:
$2x-3y=-2$
$2x-3y+2+3y=-2+2+3y$
$2x+2=3y$
$(2x+2)/3=3y/3$
$2/3*x+2/3=y$