Chapter 9 - 9.2 - Two Variable Linear Systems - 9.2 Exercises - Page 647: 36

$x=-2; y=5$

Multiply the second equation by $-1$, and then add the new equation to equation $2$. $-x+3y-4x-3y=17-7 $ This yields $x=-2$ Now, we will plug the value of $x$ into the second equation to get the value of $y$. $-4(-2)-3y=-7 \\ \implies y=5$ Thus, $x=-2; y=5$