What is the answer to 3/(27-x)=(24)/x ?

The answer to 3/(27-x)=(24)/x is x=24

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3/(27-x)=(24)/x

\frac{3}{27 - x} = \frac{24}{x}

x = 24

Solution steps

\frac{3}{27 - x} = \frac{24}{x}

Cross multiply

3 x = 648 - 24 x

Move

24 x

to the left side

27 x = 648

Divide both sides by

27

x = 24

Verify Solutions

Find undefined (singularity) points:

x = 27, x = 0

Combine undefined points with solutions:

x = 24

j, \frac{h - 4}{j} = k

6 = \frac{- 4}{3 u}

\frac{1}{x ^{2} - 2 x - 8} = 0

y, \frac{x + y}{x - y} = a

\frac{1}{x - 4} + 1 = \frac{14}{x + 2}