What is the answer to 5/(x-1)= 7/x ?

The answer to 5/(x-1)= 7/x is x= 7/2

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5/(x-1)= 7/x

\frac{5}{x - 1} = \frac{7}{x}

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

\frac{5}{x - 1} = \frac{7}{x}

Cross multiply

5 x = 7 x - 7

Move

7 x

to the left side

- 2 x = - 7

Divide both sides by

- 2

x = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = \frac{7}{2}

\frac{2}{11} = \frac{9}{r + 7}

\frac{15}{y} = \frac{10}{26}

y = \frac{2 y}{y - 1}

\frac{3}{2} = \frac{4}{x}

\frac{10000}{x} = 2