What is the answer to 2/5 = 6/y-2 ?

The answer to 2/5 = 6/y-2 is y= 5/2

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2/5 = 6/y-2

\frac{2}{5} = \frac{6}{y} - 2

y = \frac{5}{2}

Decimal Notation

y = 2.5

Solution steps

\frac{2}{5} = \frac{6}{y} - 2

Multiply by LCM

2 y = 30 - 10 y

Move

10 y

to the left side

12 y = 30

Divide both sides by

12

y = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{5}{2}

\frac{x - 2}{3 x - 1} = \frac{1}{5}

3 x^{- 2} - 17 x^{- 1} + 20 = 0

\frac{5}{11} = \frac{2}{x}

s = \frac{d}{t}, t

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