What is the answer to 6/(4y+1)= 9/(9y-6) ?

The answer to 6/(4y+1)= 9/(9y-6) is y= 5/2

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6/(4y+1)= 9/(9y-6)

\frac{6}{4 y + 1} = \frac{9}{9 y - 6}

y = \frac{5}{2}

Decimal Notation

y = 2.5

Solution steps

\frac{6}{4 y + 1} = \frac{9}{9 y - 6}

Cross multiply

18 y - 12 = 12 y + 3

Move

12

to the right side

18 y = 12 y + 15

Move

12 y

to the left side

6 y = 15

Divide both sides by

6

y = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

y = - \frac{1}{4}, y = \frac{2}{3}

Combine undefined points with solutions:

y = \frac{5}{2}

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

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

\frac{2}{x - 3} = \frac{3}{x + 7}

\frac{13 x + 3}{x - 3} = 7 - 2 x

\frac{6}{x + 7} = \frac{7}{x - 2}

What is the answer to 6/(4y+1)= 9/(9y-6) ?
The answer to 6/(4y+1)= 9/(9y-6) is y= 5/2
Solve for y: 6/(4y+1)= 9/(9y-6)
The solution is y= 5/2