#### Answer

y = 1
x = 5

#### Work Step by Step

2x + 3y = 13 ; x = y + 4
Substitute x = y + 4 to the first equation.
2 $\times$ (y + 4) + 3y = 13
2y + 8 + 3y = 13
5y + 8 = 13
5y + 8 - 8 = 13 - 8
5y = 5
y = $\frac{5}{5}$
y = 1
Substitute y = 1 to the second equation
x = 1 + 4
x = 5