What is the answer to 6/(x-1)= 4/x ?

The answer to 6/(x-1)= 4/x is x=-2

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6/(x-1)= 4/x

\frac{6}{x - 1} = \frac{4}{x}

x = - 2

Solution steps

\frac{6}{x - 1} = \frac{4}{x}

Cross multiply

6 x = 4 x - 4

Move

4 x

to the left side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = - 2

\frac{5}{x + 10} = \frac{x}{3 x - 1}

\frac{x + 2}{7} = \frac{8}{x + 3}

\frac{3}{7 x} = 2

\frac{1}{x + 5} = \frac{2}{3}

- 4 = r^{- 4}