What is the answer to (2y}{y-3}=\frac{-1)/y ?

The answer to (2y}{y-3}=\frac{-1)/y is y=1,y=-3/2

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(2y}{y-3}=\frac{-1)/y

\frac{2 y}{y - 3} = \frac{- 1}{y}

y = 1, y = - \frac{3}{2}

Decimal Notation

y = 1, y = - 1.5

Solution steps

\frac{2 y}{y - 3} = \frac{- 1}{y}

Cross multiply

2 y^{2} = - (y - 3)

Solve

2 y^{2} = - (y - 3) : y = 1, y = - \frac{3}{2}

y = 1, y = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

y = 3, y = 0

Combine undefined points with solutions:

y = 1, y = - \frac{3}{2}

\frac{( n + 1 ) !}{n !} = 14

0.7 = \frac{( 31 x - 334.8 )}{31 x}

\frac{x ^{2} - 5}{x ^{2}} = 0

0.48 = \frac{x - 10.4 - 0.03 x}{x}

\frac{8}{x - 5} = \frac{3}{x}

What is the answer to (2y}{y-3}=\frac{-1)/y ?
The answer to (2y}{y-3}=\frac{-1)/y is y=1,y=-3/2
Solve for y: (2y}{y-3}=\frac{-1)/y
The solution is y=1,y=-3/2