#### Answer

x = - $\frac{1}{5}$
y = $\frac{43}{5}$

#### Work Step by Step

y = 2x + 9
y = 7x + 10
Substitute y for 2x + 9 to the second equation.
2x + 9 = 7x + 10
2x + ( -7x ) + 9 = 7x + ( - 7x ) + 10 (add - 7x to both sides)
- 5x + 9 = 10
- 5x + 9 + ( - 9 ) = 10 + ( - 9 )
- 5x = 1
x = - $\frac{1}{5}$
Substitute x for - $\frac{1}{5}$ to the first equation.
y = 2 ( - $\frac{1}{5}$ ) + 9
y = - $\frac{2}{5}$ + $\frac{45}{5}$
y = $\frac{43}{5}$