Question

Solve the equation for the unknown.

.6(y3)=.1y.6(y-3)= .1y

Solution

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Answered 1 year ago
Answered 1 year ago
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Solve the equation

0.6(y3)=0.1yWrite the equation0.6(y3)0.1=0.1y0.1Divide by 0.16(y3)=ySimplify6y18=yUse the Distributive Property6y186y=y6ySubtract 6y18=5ySimplify185=5y5Divide by 5185=ySimplify\begin{align*} 0.6(y-3)&=0.1y\quad\quad &&\textcolor{#4257b2}{\text{Write the equation}}\\ \dfrac{0.6(y-3)}{0.1}&=\dfrac{0.1y}{0.1}\quad\quad &&\textcolor{#4257b2}{\text{Divide by }0.1}\\ 6(y-3)&=y\quad\quad &&\textcolor{#4257b2}{\text{Simplify}}\\ 6y-18&=y\quad\quad &&\textcolor{#4257b2}{\text{Use the Distributive Property}}\\ 6y-18-6y&=y-6y\quad\quad &&\textcolor{#4257b2}{\text{Subtract }6y}\\ -18&=-5y\quad\quad &&\textcolor{#4257b2}{\text{Simplify}}\\ \dfrac{-18}{-5}&=\dfrac{-5y}{-5}\quad\quad &&\textcolor{#4257b2}{\text{Divide by }-5}\\ \dfrac{18}{5}&=y\quad\quad &&\textcolor{#4257b2}{\text{Simplify}}\\ \end{align*}

The solution is x=185x=\dfrac{18}{5}.

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