#### Answer

{($\frac{3}{2}$,-2)}

#### Work Step by Step

y=4x-8
Plug the value for y into the other equation
2x-3y=9
2x-3(4x-8)=9
2x-12x+24=9
-10x+24=9
-10x=9-24
-10x=-15
x=$\frac{-15}{-10}$
x=$\frac{15}{10}$
x=$\frac{3}{2}$
Plug this value for x into the first equation.
y=4($\frac{3}{2}$)-8
y=$\frac{12}{2}$-8
y=6-8
y=-2
Therefore the solution is {($\frac{3}{2}$,-2)}