#### Answer

x = -2
y = 4

#### Work Step by Step

x + 2y = 6
2x + 3y = 8
To the first equation x + 2y - 2y = 6 - 2y
x = 6 - 2y
Substitude x for 6 - 2y to the second equation
2 ( 6 - 2y ) + 3y = 8
12 - 4y + 3y = 8 use the distributive property
12 - y = 8 simplify
12 - y - 12 = 8 - 12 minus 12 to both sides
- y = - 4
y = 4
Substitude y for 4 to the first equation
x + 2 $\times4$ = 6
x + 8 = 6
x + 8 - 8 = 6 - 8 minus 8 to both sides
x = -2