What is the answer to 6/x = 5/(x-1) ?

The answer to 6/x = 5/(x-1) is x=6

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6/x = 5/(x-1)

\frac{6}{x} = \frac{5}{x - 1}

x = 6

Solution steps

\frac{6}{x} = \frac{5}{x - 1}

Cross multiply

6 x - 6 = x \cdot 5

Move

6

to the right side

6 x = x \cdot 5 + 6

Move

x 5

to the left side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 6

\frac{1}{4 b - 2} = \frac{- 1}{2 b + 4}

\frac{5}{n} = \frac{2}{7}

\frac{16 x}{( x ^{2} + 8 ) ^{2}} = 0

\frac{8 - 5}{z} = (6 - 4)

\frac{r}{r - 2} = \frac{8}{4}