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

 Aug 11, 2021
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4x = 3y

x = \(\frac{3}{4}y\) 

\(\frac{2x+y}{3x+4y}\) 

 

\(\frac{\frac{6}{4}y + y}{\frac{9}{4}y + 4y}\) 

 

 \(\frac{\frac{10}{4}y}{\frac{25}{4}y}\) 

 

\(\frac{10y}{25y}\) 

 

\(\frac{2y}{5y}\) 

 

\(\boxed{\frac{2}{5}}\)

 Aug 11, 2021

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