What is the answer to (2y)/(y-3)=-1/y ?

The answer to (2y)/(y-3)=-1/y is y=1,y=-3/2

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(2y)/(y-3)=-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{10}{x - 2} - \frac{3}{x} = 2

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

\frac{- 2 - \frac{8}{13}}{x + 2} = 1

x, g = y + \frac{c}{x}

\frac{1}{2 + x} = \frac{21}{2}

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