#### Answer

x = 3
y = 4

#### Work Step by Step

2x +3y = 18
x = 2y - 5
Substitute x for 2y - 5 to the first equation
2 ( 2y - 5 ) + 3y = 18
4y - 10 + 3y = 18 use the distributive property
7y - 10 = 18 simplify
7y - 10 + 10 = 18 + 10 add 10 to both sides
7y = 28
$\frac{7y}{7}$ = $\frac{28}{7}$ divide both sides by 7
y = 4
x = $2\times4$ - 5 substitude y = 4 to the second equation
x = 8 - 5
x = 3