Lewis Harvey

2021-01-30

Solve the system of equations by either the addition method or the subtitution method.

Express numbers as integers or decimals.

$-0.1x+0.1y=0.2$

$0.1x+0.1y=0.1$

Express numbers as integers or decimals.

Raheem Donnelly

Skilled2021-01-31Added 75 answers

Step 1

Consider the give system of the equations as$\{\begin{array}{c}-0.1x+0.1y=0.2\\ 0.1x+0.1y=0.1\end{array}$ .

Multiply the system of equation by 10 on each sides and obtained as system of the equations as$\{\begin{array}{c}-x+y=2\\ x+y=1\end{array}$ .

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.

$-x+1.5=2$

$-x=2-1.5$

$x=\text{}-0.5$

Thus, the solution set of the given equations is$(-0.5,\text{}1.5).$

Consider the give system of the equations as

Multiply the system of equation by 10 on each sides and obtained as system of the equations as

Step 2

Solve the above equations using addition method as follows.

Step 3

Substitute

Thus, the solution set of the given equations is

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