Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 555: 33

$x=1$ $y=1$ $(1,1)$

$2x-3y=-1$ $(1)$ $10x+y=11$ $(2)$ Multiply Equation $(2)$ by 3 $2x-3y=-1$ $(1)$ $30x+3y=33$ $(2)$ Add Equation $(1)$ and Equation $(2)$ $32x=32$ $x=1$ Substitute into Equation $(2)$ $10(1) + y =11$ $10+y=11$ $y=1$