#### Answer

{($\frac{43}{5}$,-$\frac{1}{5}$)}

#### Work Step by Step

x=2y+9
Plug this value for x into the other equation.
x=7y+10
2y+9=7y+10
2y-7y+9=7y-7y+10
-5y+9=10
-5y+9-9=10-9
-5y=1
y=-$\frac{1}{5}$
Plug this value for y into the first equation to find x.
x=2(-$\frac{1}{5}$)+9
x=-$\frac{2}{5}$+9
x=-$\frac{2}{5}$+$\frac{45}{5}$
x=$\frac{43}{5}$
Therefore the solution is {($\frac{43}{5}$,-$\frac{1}{5}$)}