Answer
$m = 4$, $n = -3$ or $(4, -3)$
Work Step by Step
Given:
$2m = -4n - 4$
$3m + 5n = -3$
Divide both sides of the first equation, $2m = -4n - 4$, by $2$:
$2m \div 2 = (-4n - 4) \div 2$
$m = -2n - 2$
Substitute $m = -2n - 2$ into the second equation, $3m + 5n = -3$:
$3m + 5n = -3$
$3(-2n - 2) + 5n = -3$
$-6n + 5n - 6 = -3$
$-n - 6 = -3$
Add $6$ to both sides:
$-n = 3$
Divide both sides by $-1$:
$n = -3$
Substitute $n = -3$ into the equation, $m = -2n - 2$
$m = -2n - 2$
$m = -2(-3) - 2$
$m = 6 - 2$
$m = 4$
$m = 4$, $n = -3$
