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Question

# Solve. 2r/3 + 1/3 = -1/3

Solution

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\begin{align*} \frac{2\textcolor{#c34632}{r}}{5} - \frac{4}{5} &= \frac{2}{5}/ \cdot 5 && \text{\textbf{Multiply} both sides by 5.}\\ \frac{2\textcolor{#c34632}{r}\cdot \cancel5}{\cancel5} - \frac{4\cdot \cancel5}{\cancel5} &= \frac{2\cdot \cancel5}{\cancel5} && \text{\textbf{Divide} both sides by 5.}\\ 2\textcolor{#c34632}{r} -4 &= 2 \\ 2\textcolor{#c34632}{r} \underbrace{-4 +4}_{0} &= \underbrace{2+4}_{6} && \text{\textbf{Add} 4 to both sides.}\\ 2\textcolor{#c34632}{r} &=6/ \div2 \\ \frac{\cancel2}{\cancel2}\textcolor{#c34632}{r} &= \frac{6}{2} && \text{\textbf{Divide} both sides by 2.}\\ \textcolor{#c34632}{r} &=\boxed{3} \rightarrow \colorbox{#19804f}{\textbf{solution}} \end{align*}

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