#### Answer

x = 4
y = 2

#### Work Step by Step

3x +2y = 16
x = 3y -2
Substitute x for 3y - 2 to the first equation.
3 ( 3y - 2 ) + 2y = 16
9y - 6 + 2y = 16 use the distributive property
11y - 6 + 6 = 16 + 6 simplify and add 6 to both sides
11y = 22
$\frac{11y}{11}$ = $\frac{22}{11}$
y = $\frac{22}{11}$
y = 2
x = $3\times2$ - 2
x = 6 - 2
x = 4