Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 487: 34

Point of intersection at $(5, -1)$

$2x + 3y = 7$ $x + 3y = 2$ $x = 2 - 3y$ $2(2-3y) + 3y = 7$ $4 - 6y + 3y = 7$ $-6y + 3y = 3$ $-3y = 3$ $y = -1$ $x = 2 - 3(-1)$ $x = 2 + 3$ $x = 5$ Point of intersection at $(5, -1)$