What is the answer to 2-(y-7)^{-1}=6(y-7)^{-2} ?

The answer to 2-(y-7)^{-1}=6(y-7)^{-2} is y=9,y= 11/2

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2-(y-7)^{-1}=6(y-7)^{-2}

2 - (y - 7)^{- 1} = 6 (y - 7)^{- 2}

y = 9, y = \frac{11}{2}

Decimal Notation

y = 9, y = 5.5

Solution steps

2 - (y - 7)^{- 1} = 6 (y - 7)^{- 2}

Refine

2 - \frac{1}{y - 7} = \frac{6}{( y - 7 ) ^{2}}

Multiply by LCM

2 (y - 7)^{2} - (y - 7) = 6

Solve

2 (y - 7)^{2} - (y - 7) = 6 : y = 9, y = \frac{11}{2}

y = 9, y = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

y = 7

Combine undefined points with solutions:

y = 9, y = \frac{11}{2}

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

\frac{- 2}{c} = 2

f^{- 1} (- 2) = - 2 + 3

\frac{9 - x ^{2}}{x ^{2} + 3 x} = 0

\frac{x + 6}{x - 4} = 2

What is the answer to 2-(y-7)^{-1}=6(y-7)^{-2} ?
The answer to 2-(y-7)^{-1}=6(y-7)^{-2} is y=9,y= 11/2
Solve for y: 2-(y-7)^{-1}=6(y-7)^{-2}
The solution is y=9,y= 11/2