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

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

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

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

x = 5

Solution steps

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

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

Combine undefined points with solutions:

x = 5

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

\frac{4}{k} = \frac{6}{11}

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

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

\frac{7}{n} = \frac{8}{7}