#### Answer

$x = 101$
$y = 96$
(101, 96)

#### Work Step by Step

$0.2x-0.5y=-27.8$
$0.3x+0.4y=68.7$
Multiply both sides of each equation by 10 so that you get:
$2x - 5y = -278$
$3x + 4y = 687$
Express $x$ in terms of $y$ from the first equation:
$2x = -278 + 5y$
$x = -139 + \frac{5}{2}y$
Substitute $x$ in the second equation:
$3*(-139 + \frac{5}{2}y) + 4y = 687$
$-417 + \frac{15}{2}y + \frac{8}{2}y = 687$
$\frac{23}{2}y = 1104$
$23y = 2208$
$y = 96$
Substitute $y$ to get $x$
$2x-5*96=-278$
$2x=480-278$
$x=101$