#### Answer

no solution

#### Work Step by Step

3x + 6y = 9
4x + 8y = 16
to the first equation divide by 3
x + 2y = 3 minus 2y to both sides
x + 2y - 2y = 3 - 2y
x = 3 - 2y substitude x to the second equation
4 ( 3 - 2y ) + 8y = 16 use the distributive property
12 - 8y + 8y = 16
12 = 16 no solution