What is the answer to 3/(12-y)=3y-1 ?

The answer to 3/(12-y)=3y-1 is y=(37-sqrt(1189))/6 ,y=(37+sqrt(1189))/6

Solve for y: 3/(12-y)=3y-1

The solution is y=(37-sqrt(1189))/6 ,y=(37+sqrt(1189))/6

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\frac{3}{12 - y} = 3 y - 1

y = \frac{37 - 1189}{6}, y = \frac{37 + 1189}{6}

Decimal Notation

y = 0.41968 \dots, y = 11.91364 \dots

Solution steps

\frac{3}{12 - y} = 3 y - 1

Multiply both sides by

12 - y

3 = 3 y (12 - y) - (12 - y)

Solve

3 = 3 y (12 - y) - (12 - y) : y = \frac{37 - 1189}{6}, y = \frac{37 + 1189}{6}

y = \frac{37 - 1189}{6}, y = \frac{37 + 1189}{6}

Verify Solutions

Find undefined (singularity) points:

y = 12

Combine undefined points with solutions:

y = \frac{37 - 1189}{6}, y = \frac{37 + 1189}{6}

5 t^{- 2} - 9 t^{- 1} - 2 = 0

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

\frac{5}{6} = \frac{10}{w + 3}

x, f = \frac{k}{x ^{2}}

6 = \frac{8 - m}{8 + m} \cdot 10

What is the answer to 3/(12-y)=3y-1 ?
The answer to 3/(12-y)=3y-1 is y=(37-sqrt(1189))/6 ,y=(37+sqrt(1189))/6
Solve for y: 3/(12-y)=3y-1
The solution is y=(37-sqrt(1189))/6 ,y=(37+sqrt(1189))/6