#### Answer

$x=10$
$y=14$

#### Work Step by Step

The first equation is already solved for $y$, then we have to substitute this expression into the second equation:
$y=1.4x$
Second equation:
$0.5x+1.5(1.4x)=26.0$
$2.6x=26.0$
$x=10$
$y=1.4(10)=14$
We have to check, if the solution is right. Substitute $x$ with 10 and $y$ with 14:
$14=1.4(10)$ $\checkmark$
$0.5(10)+1.5(14)=5+21=26.0$ $\checkmark$