#### Answer

$x=0.6$
$y=0.5$
$(0.6,0.5)$

#### Work Step by Step

$0.2x -0.1y=0.07$
$0.4x-0.5y=-0.01$
Multiply the first equation by $-2$.
$-0.4x+0.2y=-0.14$
$0.4x-0.5y=-0.01$
Eliminate the $x$-variable by addition of the two equations.
$-0.3y=-0.15$
$y=0.5$
Substitute for $y$ and solve for $x$.
$0.2x-0.1\times0.5=0.07$
$0.2x=0.12$
$x=0.6$