#### Answer

x = 1
y = 5

#### Work Step by Step

y = 2x + 3
5y - 7x = 18
Substitute y = 2x + 3 to the second equation.
5 ( 2x + 3 ) - 7x = 18
10x + 15 - 7x = 18 (use the distributive property simplify)
3x + 15 = 18 ( simplify )
3x + 15 - 15 = 18 - 15
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 to the first equation.
y = 2 $\times1 + 3$
y = 5