What is the answer to 3/(x-1)= 4/(x+2) ?

The answer to 3/(x-1)= 4/(x+2) is x=10

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

\frac{3}{x - 1} = \frac{4}{x + 2}

x = 10

Solution steps

\frac{3}{x - 1} = \frac{4}{x + 2}

Cross multiply

3 x + 6 = 4 x - 4

Move

6

to the right side

3 x = 4 x - 10

Move

4 x

to the left side

- x = - 10

Divide both sides by

- 1

x = 10

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 10

- \frac{3}{x} = \frac{x}{5 x + 18}

\frac{16}{x + 3} + \frac{7}{x - 2} = 3

\frac{a}{x} = b

P = \frac{W}{t}, t

p = 0.103 + \frac{0.79365}{p}