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

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

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

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

x = - 5

Solution steps

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

Cross multiply

7 x + 7 = 4 x - 8

Move

7

to the right side

7 x = 4 x - 15

Move

4 x

to the left side

3 x = - 15

Divide both sides by

3

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 5

10 = \frac{0.6}{x - 0.6} 10

- \frac{1}{y} = - y^{- 1}

\frac{5}{x} = 2

\frac{4 a - 1}{a - 1} = 3

\frac{1}{x} = \frac{4}{100}