Answer
x = - $\frac{9}{5}$
y = $\frac{3}{5}$
Work Step by Step
10x - 5y = -21
x + 3y = 0
to the second equation ,minus 3y to both sides
x + 3y - 3y = 0 - 3y
x = - 3y simplify
10 ( -3y ) - 5y = -21 substitude x to the first equation
- 30y - 5y = -21
-35y = -21 simplify
$\frac{-35y}{-35}$ = $\frac{-21}{-35}$
y = $\frac{21}{35}$ divide by -35 both sides
y = $\frac{3}{5}$ divide by 7 both sides
x = -3y
x = -3 ( $\frac{3}{5}$)
x = - $\frac{9}{5}$