What is the answer to (6y-1)/y-3=2 ?

The answer to (6y-1)/y-3=2 is y=1

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(6y-1)/y-3=2

\frac{6 y - 1}{y} - 3 = 2

y = 1

Solution steps

\frac{6 y - 1}{y} - 3 = 2

Move

3

to the right side

\frac{6 y - 1}{y} = 5

Multiply both sides by

y

6 y - 1 = 5 y

Move

1

to the right side

6 y = 5 y + 1

Move

5 y

to the left side

y = 1

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 1

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

\frac{7 x + 12}{9 x + 3} = \frac{2}{5}

\frac{6}{x} = 2 + \frac{x - 3}{x + 1}

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

\frac{2}{x - 2} + \frac{3}{x} = \frac{5}{x - 4}