What is the answer to 4/(x-1)= 7/(x+2) ?

The answer to 4/(x-1)= 7/(x+2) is x=5

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4/(x-1)= 7/(x+2)

\frac{4}{x - 1} = \frac{7}{x + 2}

x = 5

Solution steps

\frac{4}{x - 1} = \frac{7}{x + 2}

Cross multiply

4 x + 8 = 7 x - 7

Move

8

to the right side

4 x = 7 x - 15

Move

7 x

to the left side

- 3 x = - 15

Divide both sides by

- 3

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 5

f, t = \frac{1}{f}

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

\frac{4}{5} = \frac{12}{x}

\frac{- 18}{( - 3 ) + 4 x} = 2 (- 4) + 2 x + 4

\frac{1 - 3 x}{4 x - 2} = - \frac{5}{8}