Answer
$x = 3$
$y = 4$
Work Step by Step
$2x + 5y = 26$
$10x-3y = 18$
$2x = 26 - 5y$
$x = \frac{26-5y}{2}$
$10(\frac{26-5y}{2}) - 3y = 18$
$10(26-5y) - 2(3y) = 2(18)$
$260 - 50y - 6y = 36$
$260 - 56y = 36$
$-56y = -224$
$56y = 224$
$y = \frac{224}{56}$
$y = 4$
$2x = 26 - 5y$
$x = \frac{26-5(4)}{2}$
$x = \frac{26-20}{2}$
$x = \frac{6}{2}$
$x = 3$
Check:
$10x - 3y \overset{?}{=} 18$
$10(3) - 3(4) \overset{?}{=} 18$
$30 - 12 \overset{?}{=} 18$
$18 = 18$
