Question

​\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=-\frac{64}{125}\)

Answer 1

\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=\frac{-64}{125}=\left(\frac{-4}{5}\right)^3\)

=> \(\frac{3}{5}-\frac{2}{3}x=\frac{-4}{5}\)

=> \(\frac{2}{3}x=\frac{3}{5}-\frac{-4}{5}\)

=> \(\frac{2}{3}.x=\frac{3}{5}+\frac{4}{5}=\frac{7}{5}\)

=> \(x=\frac{7}{5}:\frac{2}{3}\)

=> \(x=\frac{7}{5}.\frac{3}{2}=\frac{21}{10}\)

Answer 2

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Answer 3

\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=\frac{-64}{125}=\left(\frac{-4}{5}\right)^3\)

\(\Rightarrow\frac{3}{5}-\frac{2}{3}x=\frac{-4}{5}\)

\(\Rightarrow\frac{2}{3}x=\frac{3}{5}-\frac{-4}{5}=\frac{7}{5}\)

\(\Rightarrow x=\frac{7}{5}.\frac{3}{2}=\frac{21}{10}\)

Answer 4

\(\Rightarrow\frac{3}{5}-\frac{2}{3}x=-\frac{4}{5}\)

\(\Rightarrow\frac{2}{3}x=\frac{3}{5}--\frac{4}{5}\)

\(\Rightarrow\frac{2}{3}x=\frac{7}{5}\)

\(\Rightarrow x=\frac{7}{5}:\frac{2}{3}\)

\(\Rightarrow x=\frac{21}{10}\)

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