Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 190: 50

$(-1,-3)$

To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable. As we are given that $x-2y=5$ and $-10x+2y=4$ This implies $x=-1$ Now, $-10x+2y=4$ or, $-10(-1)+2y=4 \implies 10+2y=4$ or, $2y=4-10 \implies y=-3$ Hence, the desired result is: $(-1,-3)$