Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Skill Practice - Page 164: 24

$x=-\frac{7}{2}$ and $y=4$

$2x+5y=13$ $/\times(-3)$ to get rid of the $x$ $6x+2y=-13$ _________________ $-6x-15y=-39$ $6x+2y=-13$ _________________ $-13y=-52$ $y=\frac{-52}{-13}$ $y=4$ when $y=4$... $6x+2(4)=-13$ $6x+8=-13$ $6x=-21$ $x=-\frac{21}{6}$ $x=-\frac{7}{2}$