What is the answer to 8/(x-1)= 4/3 ?

The answer to 8/(x-1)= 4/3 is x=7

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8/(x-1)= 4/3

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

x = 7

Solution steps

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

Cross multiply

24 = (x - 1) \cdot 4

Switch sides

(x - 1) \cdot 4 = 24

Divide both sides by

4

x - 1 = 6

Move

1

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 7

108 = \frac{567}{x} \times 100

x + \frac{5}{x + 7} = \frac{x}{x + 7}

- 4 x + \frac{16}{x} = 0

- 17 = \frac{x ^{2} + ( 7 - a ) x - 7 a}{x + 7}

- \frac{1}{x + 4} + 2 = 0