Answer
$x=2$
$y=6$
Work Step by Step
The second equation is already solved for $y$, then we have to substitute this expression into the first equation:
$3x=y$
First equation:
$\frac{1}{2}x+\frac{1}{3}(3x)=3$
$\frac{3}{2}x=3$
$x=2$
$y=3x=3(2)=6$
We need to check, if it is the right solution, we substitute x with $2$ and y with $6$:
$\frac{1}{2}(2)+\frac{1}{3}(6)=1+2=3$ $\checkmark$
$6=3(2)$ $\checkmark$
