What is the answer to 6/(y-3)-6/y =-9/y ?

The answer to 6/(y-3)-6/y =-9/y is y=1

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6/(y-3)-6/y =-9/y

\frac{6}{y - 3} - \frac{6}{y} = - \frac{9}{y}

y = 1

Solution steps

\frac{6}{y - 3} - \frac{6}{y} = - \frac{9}{y}

Multiply by LCM

6 y - 6 (y - 3) = - 9 (y - 3)

Expand

- 6 (y - 3) : - 6 y + 18

6 y - 6 y + 18 = - 9 (y - 3)

Add similar elements:

6 y - 6 y = 0

18 = - 9 (y - 3)

Expand

- 9 (y - 3) : - 9 y + 27

18 = - 9 y + 27

Move

18

to the right side

0 = - 9 y + 9

Move

0

to the right side

= - 9 y + 9

Move

9 y

to the left side

9 y = 9

Divide both sides by

9

y = 1

Verify Solutions

Find undefined (singularity) points:

y = 0, y = 3

Combine undefined points with solutions:

y = 1

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

- \frac{2}{x} = 0

\frac{6}{y - 3} - \frac{6}{y} = \frac{- 9}{y}

\frac{3 x + 1}{5 x + 7} = \frac{6 x + 11}{10 x - 3}

x, m = \frac{y ^{2} - y ^{1}}{x ^{2} - x ^{1}}

What is the answer to 6/(y-3)-6/y =-9/y ?
The answer to 6/(y-3)-6/y =-9/y is y=1
Solve for y: 6/(y-3)-6/y =-9/y
The solution is y=1