#### Answer

$x=4$
$y=2$

#### Work Step by Step

The first equation is already solved for $y$, then we have to substitute this expression into the second equation:
$y=0.5x$
Second equation:
$1.5x-0.5(0.5x)=5.0$
$1.25x=5.0$
$x=\frac{5}{1.25}=4$
$y=0.5(4)=2$
We have to check, if the solution is right. Substitute $x$ with 4 and $y$ with 2:
$2=0.5(4)$ $\checkmark$
$1.5(4)-0.5(2)=6-1=5.0$ $\checkmark$