Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.1 - Page 527: 15

$(5,4)$

$2x-3y=8-2x$ $3x+4y=x+3y+14$ $3x=-4y+x+3y+14$ $2x=-y+14$ $x=\frac{-y+14}{2}$ $2(\frac{-y+14}{2})-3y=8-2(\frac{-y+14}{2})$ $-y+14-3y=8+y-14$ $-4y+14=y-6$ $-5y=-20$ $y=4$ $3x+4(4)=x+3(4)+14$ $3x+16=x+12+14$ $3x+16=x+26$ $2x=10$ $x=5$ $(5,4)$