Answer
There is no solution for the given system.
Work Step by Step
$-x+3y=6$
$3x-9y=9$
Equate the coefficients. Multiply the first equation by 3.
$3(-x+3y)=3(6)\longrightarrow$ Simplify. Apply the distributive property.
$-3x+9y=18$
Add the second equation to the new equation.
$\ \ \ 3x-9y=9$
$\underline{-3x+9y=18}$
$0=27$
Since 0 cannot equal 27, there is no solution for this system of equations.