What is the answer to x/(5x-18)= 3/x ?

The answer to x/(5x-18)= 3/x is x=9,x=6

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x/(5x-18)= 3/x

\frac{x}{5 x - 18} = \frac{3}{x}

x = 9, x = 6

Solution steps

\frac{x}{5 x - 18} = \frac{3}{x}

Cross multiply

x^{2} = (5 x - 18) \cdot 3

Solve

x^{2} = (5 x - 18) \cdot 3 : x = 9, x = 6

x = 9, x = 6

Verify Solutions

Find undefined (singularity) points:

x = \frac{18}{5}, x = 0

Combine undefined points with solutions:

x = 9, x = 6

\frac{1}{4 x - 2} = 250

x, M = \frac{6 y - 1}{4 x - 5}

\frac{x ^{2} - 25}{x + 5} = x^{2} - 17

\frac{5}{x} = 15

\frac{9}{x} = - \frac{3}{5}