#### Answer

x =$\frac{1}{2}$
y = 3

#### Work Step by Step

x = $\frac{5}{6}$y -2
12x - 5y = -9
substitude x to the second equation
12( $\frac{5}{6}$y - 2 ) - 5y = -9
10y - 24 - 5y = -9
5y = 15
y = 3
substitude y = 3 to first equation
x = $\frac{5}{6}$(3) -2
x = $\frac{5}{2}$ - $\frac{4}{2}$
x = $\frac{1}{2}$