What is the answer to 7/x+1/4 = 9/x ?

The answer to 7/x+1/4 = 9/x is x=8

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7/x+1/4 = 9/x

\frac{7}{x} + \frac{1}{4} = \frac{9}{x}

x = 8

Solution steps

\frac{7}{x} + \frac{1}{4} = \frac{9}{x}

Multiply by LCM

28 + x = 36

Move

28

to the right side

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8

\frac{x - 4}{x - 6} = 2

- \frac{7 x}{x - 9} + 6 = \frac{1}{x - 9}

\frac{1}{x} + \frac{1}{x ^{2}} = \frac{3}{4}

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

\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}