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{40}{t} = - 5

\frac{7}{2} = \frac{14}{x}

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

y, h = \frac{3 y}{y + 5}

f, y = f^{- 1}