What is the answer to 1/(5y-2)=5 ?

The answer to 1/(5y-2)=5 is y= 11/25

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1/(5y-2)=5

\frac{1}{5 y - 2} = 5

y = \frac{11}{25}

Decimal Notation

y = 0.44

Solution steps

\frac{1}{5 y - 2} = 5

Multiply both sides by

5 y - 2

1 = 5 (5 y - 2)

Switch sides

5 (5 y - 2) = 1

Divide both sides by

5

5 y - 2 = \frac{1}{5}

Move

2

to the right side

5 y = \frac{11}{5}

Divide both sides by

5

y = \frac{11}{25}

Verify Solutions

Find undefined (singularity) points:

y = \frac{2}{5}

Combine undefined points with solutions:

y = \frac{11}{25}

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

\frac{1}{( \frac{1}{x} - \frac{1}{3} )} + \frac{1}{( \frac{1}{x} - \frac{1}{3} )} = x^{3}

\frac{0.6}{x} = \frac{0.3}{2}

\frac{y ^{2} + 1}{3 \cdot y} = 2

\frac{0.009}{x} = 0.01