Chapter 3 Linear Systems and Matrices - 3.4 Solve Systems of Linear Equations in Three Variables - 3.4 Exercises - Mixed Review - Page 185: 60

$x=-5$ and $y=6$

$3x+2y=-3$ $/\times(3)$ to get rid of the $y$ $4x-3y=-38$ $/\times(2)$ to get rid of the $y$ _________________ $9x+6y=-9$ $8x-6y=-76$ _________________ $17x=-85$ $x=-\frac{85}{17}$ $x=-5$ when $x=-5$... $3(-5)+2y=-3$ $-15+2y=-3$ $2y=12$ $y=\frac{12}{2}$ $y=6$