What is the answer to (3y+9)/(4y-5)=6 ?

The answer to (3y+9)/(4y-5)=6 is y= 13/7

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(3y+9)/(4y-5)=6

\frac{3 y + 9}{4 y - 5} = 6

y = \frac{13}{7}

Solution steps

\frac{3 y + 9}{4 y - 5} = 6

Multiply both sides by

4 y - 5

3 y + 9 = 6 (4 y - 5)

Expand

6 (4 y - 5) : 24 y - 30

3 y + 9 = 24 y - 30

Move

9

to the right side

3 y = 24 y - 39

Move

24 y

to the left side

- 21 y = - 39

Divide both sides by

- 21

y = \frac{13}{7}

Verify Solutions

Find undefined (singularity) points:

y = \frac{5}{4}

Combine undefined points with solutions:

y = \frac{13}{7}

0 = \frac{2 x}{1 + x ^{2}}

\frac{2}{3} = \frac{4}{x}

\frac{27}{x} = \frac{51}{8}

x = \frac{15}{x - 2}

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

What is the answer to (3y+9)/(4y-5)=6 ?
The answer to (3y+9)/(4y-5)=6 is y= 13/7
Solve for y: (3y+9)/(4y-5)=6
The solution is y= 13/7