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# Help algebra

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If 4x = 3y, what is the value of (2x + y)/(3x - y)?

Jun 10, 2021

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+26321
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If
$$4x = 3y$$,
what is the value of $$\dfrac{2x + y}{3x - y}$$?

$$\begin{array}{|rcll|} \hline 4x &=& 3y \\ \mathbf{ y } &=& \mathbf{ \dfrac{4}{3}*x } \\ \hline \dfrac{2x + y}{3x - y} &=& \dfrac{2x + \dfrac{4}{3}*x}{3x - \dfrac{4}{3}*x} \\\\ &=& \dfrac{ x\left(2+\dfrac{4}{3}\right) }{ x\left( 3 - \dfrac{4}{3}\right) } \\\\ &=& \dfrac{ 2+\dfrac{4}{3} }{ 3 - \dfrac{4}{3} } \\\\ &=& \dfrac{10}{3} \over \dfrac{5}{3} \\\\ &=& \dfrac{10}{3} * \dfrac{3}{5} \\\\ &=& \dfrac{10}{5} \\\\ \mathbf{\dfrac{2x + y}{3x - y}} &=& \mathbf{2} \\ \hline \end{array}$$

Jun 10, 2021