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}

Lewis Harvey 2021-01-30 Answered
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
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Expert Answer

Raheem Donnelly
Answered 2021-01-31 Author has 75 answers
Step 1
Consider the give system of the equations as {0.1x+0.1y=0.20.1x+0.1y=0.1 .
Multiply the system of equation by 10 on each sides and obtained as system of the equations as {x+y=2x+y=1.
Step 2
Solve the above equations using addition method as follows.
x+y=2
x+y=10+2y=3
y=32
y=1.5
Step 3
Substitute y=1.5 in the first equation and solve for y as follows.
x+1.5=2
x=21.5
x= 0.5
Thus, the solution set of the given equations is (0.5, 1.5).
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