Answer
$x=0.0750, y=0.08$
Work Step by Step
We write the system of equations as follows:
$0.2x -0.1y=0.007 \\ 0.4x-0.5y =-0.01$
We divide the $R_1$ by $2$ .
The new system of equations is:
$x -0.5y=0.0350 \\ 0.4x-0.5y =-0.01$
After solving the two equations, we have
$ y=0.08$
Now, $0.2x -0.1(0.08)=0.007 \implies x=0.0750$
Therefore, $x=0.0750, y=0.08$