Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Mixed Review - Page 858: 49

$x=0; y=-3$

Since we are given two equations $4x-6y=18$ and $-2x+y=-3$ Now, multiply the equation $-2x+y=-3$ by $2$; thus we have $4x-6y=18$ and $-4x+2y=-6$ After solving, we get $-4y =12 \implies y= -3$ Then, $-4x+2(-3)=-6$ This implies $4x=0 \implies x=0$ Hence, $x=0; y=-3$