What is the answer to 2/3 = 3/x ?

The answer to 2/3 = 3/x is x= 9/2

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2/3 = 3/x

\frac{2}{3} = \frac{3}{x}

x = \frac{9}{2}

Solution steps

\frac{2}{3} = \frac{3}{x}

Cross multiply

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{2}

\frac{1}{y - 3} = \frac{- 1}{3 - y}

\frac{x ^{2} - 1}{x + 1} = - 2

\frac{2 x}{x + 1} = \frac{2 x + 1}{x}

\frac{8 h}{3 j} = 6 k

\frac{n !}{( n - 2 ) !} = 20