# Solve the system of equations by either the addition method or the subtitution method. Express numbers as integers or decimals. displaystyle-{0.1}{x}+{0.1}{y}={0.2} displaystyle{0.1}{x}+{0.1}{y}={0.1}

Solve the system of equations by either the addition method or the subtitution method.
Express numbers as integers or decimals.
$-0.1x+0.1y=0.2$
$0.1x+0.1y=0.1$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Raheem Donnelly
Step 1
Consider the give system of the equations as $\left\{\begin{array}{c}-0.1x+0.1y=0.2\\ 0.1x+0.1y=0.1\end{array}$ .
Multiply the system of equation by 10 on each sides and obtained as system of the equations as $\left\{\begin{array}{c}-x+y=2\\ x+y=1\end{array}$.
Step 2
Solve the above equations using addition method as follows.
$-x+y=2$
$\frac{x+y=1}{0+2y=3}$
$y=\frac{3}{2}$
$y=1.5$
Step 3
Substitute $y=1.5$ in the first equation and solve for y as follows.
$-x+1.5=2$
$-x=2-1.5$

Thus, the solution set of the given equations is