What is the answer to 15= 5/x+4 ?

The answer to 15= 5/x+4 is x= 5/11

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15= 5/x+4

15 = \frac{5}{x} + 4

x = \frac{5}{11}

Decimal Notation

x = 0.45454 \dots

Solution steps

15 = \frac{5}{x} + 4

Move

4

to the left side

11 = \frac{5}{x}

Multiply both sides by

x

11 x = 5

Divide both sides by

11

x = \frac{5}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{11}

0 = \frac{x ^{2}}{x ^{2} - 4}

7.8 x + 5.1 = \frac{x ^{2}}{7.8 x}

\frac{x + m}{x - n} = \frac{n + x}{m + x}

1 - \frac{2}{x - 1} = \frac{5}{x ^{2} - 1}

\frac{x ^{2} + 2 x}{4 ( x + 1 ) ^{2}} = 0