Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.4 Mathematical Induction - 11.4 Assess Your Understanding - Page 851: 37

$(\frac{1}{2},-3)$

1. Eliminate x, multiply -2 to the 2nd equation and add the result to the first, we have $13y=-39$, thus $y=-3$ 2. Back substitute the result to the 2nd equation to get $2x-5(-3)=16$, thus $x=\frac{1}{2}$ 3. Thus solution is $(\frac{1}{2},-3)$