#### Answer

$x = 3.6$
$y = 0.6$
(3.6, 0.6)

#### Work Step by Step

$\frac{x}{4}+\frac{y}{6}=1$
$x-y=3$
Step #1 - Multiply the first equation by 12:
$3x + 2y = 12$
$x - y = 3$
Step #2 - Multiply the second equation by 3:
$3x + 2y = 12$
$3x - 3y = 9$
Step #3 - Subtract the first equation from the second equation:
$3x - 3y - (3x + 2y) = 9 - 12$
$-5y = -3$
$y = \frac{3}{5} = 0.6$
Step #4 - Substitute $y$ to get $x$:
$x-y=3$
$x-0.6=3$
$x=3.6$