Answer
$x = 6$
$y = -3$
(6, -3)
Work Step by Step
$x-5y=21$
$6x+5y=21$
Add the equations.
$x - 5y + (6x + 5y) = 21 + 21$
$x + 6x -5y + 5y = 42$
$7x = 42$
$x = 42/7$
$x = 6$
Substitute x in the first equation to get y
$6 - 5y = 21$
$-5y = 15$
$y = -3$