Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Skill Practice - Page 164: 22

$x=-1$ and $y=9$

$7x+2y=11$ $/\times(-3)$ to get rid of the $y$ $-2x+3y=29$ $/\times(2)$ to get rid of the $y$ _________________ $-21x-6y=-33$ $-4x+6y=58$ _________________ $-25x=25$ $x=-\frac{25}{25}$ $x=-1$ when $x=-1$... $7(-1)+2y=11$ $2y-7=11$ $2y=18$ $y=\frac{18}{2}$ $y=9$