Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals 0.4y-4=2

Tabansi 2021-08-03 Answered
Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.
\(\displaystyle{0.4}{y}-{4}={2}\)

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Expert Answer

averes8
Answered 2021-08-04 Author has 16153 answers
Step 1
The given equation is \(\displaystyle{0.4}{y}-{4}={2}\)
The equation \(\displaystyle{0.4}{y}-{4}={2}\) can be solved as follows.
We multiply the decimal number by 10 to shift the decimal towards right hand side by one place.
Step 2
For clearing the decimals we multiply each term by 10.
\(\displaystyle\Rightarrow{10}\times{0.4}{y}-{10}\times{4}={10}\times{2}\)
\(\displaystyle\Rightarrow{4}{y}-{40}={20}\)
Add both sides by 40.
\(\displaystyle\Rightarrow{4}{y}-{40}+{40}={20}+{40}\)
\(\displaystyle\Rightarrow{4}{y}={60}\)
Divide both sides by 4.
\(\displaystyle\Rightarrow{\frac{{{4}{y}}}{{{4}}}}={\frac{{{60}}}{{{4}}}}\)
\(\displaystyle\Rightarrow\ {y}={15}\)
Therefore, \(\displaystyle{y}={15}\) is the solution of \(\displaystyle{0.4}{y}-{4}={2}.\)
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