What is the answer to 4/x = 5/(12-x) ?

The answer to 4/x = 5/(12-x) is x= 16/3

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4/x = 5/(12-x)

\frac{4}{x} = \frac{5}{12 - x}

x = \frac{16}{3}

Solution steps

\frac{4}{x} = \frac{5}{12 - x}

Cross multiply

48 - 4 x = x \cdot 5

Move

48

to the right side

- 4 x = x \cdot 5 - 48

Move

x 5

to the left side

- 9 x = - 48

Divide both sides by

- 9

x = \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 12

Combine undefined points with solutions:

x = \frac{16}{3}

\frac{4}{x} = x

10 x = 1 + \frac{3}{x}

\frac{8}{x + 9} = \frac{5}{x - 3}

\frac{x - 7}{5 x} + 1 = \frac{x + 3}{x}

\frac{3}{( x - 2 )} = \frac{4 - 1}{3}