#### Answer

{(5,1)}

#### Work Step by Step

y=2x-9
Plug this value for y into the other equation.
x+3y=8
x+3(2x-9)=8
x+3(2x)-3(9)=8
x+6x-27=8
7x-27=8
7x=8+27
7x=35
x=$\frac{35}{7}$
x=5
Plug this back into the first equation to find y.
y=2(5)-9
y=10-9
y=1
Therefore the solution is {(5,1)}