What is the answer to -1/y =-y^{-1} ?

The answer to -1/y =-y^{-1} is y\ne 0

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-1/y =-y^{-1}

- \frac{1}{y} = - y^{- 1}

y \neq = 0

Solution steps

- \frac{1}{y} = - y^{- 1}

Refine

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

Add

\frac{1}{y}

to both sides

- \frac{1}{y} + \frac{1}{y} = - \frac{1}{y} + \frac{1}{y}

Simplify

0 = 0

Both sides are equal

True for all y

Verify Solutions

Find undefined (singularity) points:

y = 0

Since the equation is undefined for:

0

y \neq = 0

\frac{5}{x} = 2

\frac{4 a - 1}{a - 1} = 3

\frac{1}{x} = \frac{4}{100}

y, x = \frac{1}{y ^{3}}

3 = \frac{7}{r - 6}