Answer
$x = -7$
$y = 6$
Work Step by Step
$x + 3y = 11$
$2x + 3y = 4$
To use elimination, we need to make one of the variables the same in each equation. We see that we have this with the y terms:
$-x - 3y = -11$
$2x + 3y = 4$
Add the two equations together:
$x = -7$
Now that we have the value for $x$, we can plug it into one of the equations to solve for $y$:
$-7 + 3y = 11$
Add $7$ to each side of the equation:
$3y = 18$
Divide each side of the equation by $3$:
$y = 6$
