#### Answer

{($\frac{5}{2}$,3)}

#### Work Step by Step

y=2x-2
Plug this value for y into the other equation
6x+8y=39
6x+8(2x-2)=39
6x+16x-16=39
22x-16=39
22x-16+16=39+16
22x=55
x=$\frac{55}{22}$
x=$\frac{5}{2}$
Plug this value for x into the first equation to find y.
y=2x-2
y=2($\frac{5}{2}$)-2
y=5-2
y=3
Therefore the solution is {($\frac{5}{2}$,3)}