Answer
$x = -6$, $y = 30$
Work Step by Step
Given:
$5x + y = 0$
$5x + 2y = 30$
Subtract the first equation, $5x + y = 0$, from the second equation, $5x + 2y = 30$:
$5x + 2y - (5x + y) = 30 - (0)$
$5x + 2y - (5x + y) = 30$
Subtract each term of the binomial:
$5x - 5x + 2y - y = 30$
$y = 30$
Substitute $y = 30$ into the first equation, $5x + y = 0$:
$5x + y = 0$
$5x + (30) = 0$
$5x + 30 = 0$
Subtract $30$ from both sides:
$5x = -30$
Divide both sides by $5$:
$x = -6$
$x = -6$, $y = 30$
