What is the answer to 3/(x-1)= 2/5 ?

The answer to 3/(x-1)= 2/5 is x= 17/2

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3/(x-1)= 2/5

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

x = \frac{17}{2}

Solution steps

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

Cross multiply

15 = (x - 1) \cdot 2

Switch sides

(x - 1) \cdot 2 = 15

Divide both sides by

2

x - 1 = \frac{15}{2}

Move

1

to the right side

x = \frac{17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{17}{2}

\frac{3}{x} - \frac{1}{3} = - 6

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

\frac{x}{8} = \frac{8}{x}

\frac{f}{5 n ^{3}} + h = g

\frac{5}{x} = \frac{5}{6 x} - 3