What is the answer to (15)/(4-7x)=9 ?

The answer to (15)/(4-7x)=9 is x= 1/3

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(15)/(4-7x)=9

\frac{15}{4 - 7 x} = 9

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{15}{4 - 7 x} = 9

Multiply both sides by

4 - 7 x

15 = 9 (4 - 7 x)

Switch sides

9 (4 - 7 x) = 15

Divide both sides by

9

4 - 7 x = \frac{5}{3}

Move

4

to the right side

- 7 x = - \frac{7}{3}

Divide both sides by

- 7

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{7}

Combine undefined points with solutions:

x = \frac{1}{3}

- x^{- 1} = 4

\frac{x ^{2} + 1}{x ^{2}} = 3

\frac{17}{8 y} = \frac{41}{2}

x, \frac{6}{x} + \frac{12}{y} = 2

m, \frac{3}{4} = \frac{1}{n ^{2}} - \frac{1}{m ^{2}}