What is the answer to 1/(2h)+5/h = 3/(h-1) ?

The answer to 1/(2h)+5/h = 3/(h-1) is h= 11/5

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1/(2h)+5/h = 3/(h-1)

\frac{1}{2 h} + \frac{5}{h} = \frac{3}{h - 1}

h = \frac{11}{5}

Decimal Notation

h = 2.2

Solution steps

\frac{1}{2 h} + \frac{5}{h} = \frac{3}{h - 1}

Multiply by LCM

11 h - 11 = 6 h

Move

11

to the right side

11 h = 6 h + 11

Move

6 h

to the left side

5 h = 11

Divide both sides by

5

h = \frac{11}{5}

Verify Solutions

Find undefined (singularity) points:

h = 0, h = 1

Combine undefined points with solutions:

h = \frac{11}{5}

x + \frac{7}{x - 6} = 2 x

y, \frac{55 x - 135 y}{26 y - 148 x} = \frac{5}{2}

\frac{- 5 x + 3}{7 x - 9} - \frac{4 x + 9}{- 7 x + 9} = 2

\frac{6}{x} + \frac{3}{x ^{2}} = \frac{9}{x}

\frac{8}{x + 8} - 9 = - \frac{x}{x + 8}

What is the answer to 1/(2h)+5/h = 3/(h-1) ?
The answer to 1/(2h)+5/h = 3/(h-1) is h= 11/5
Solve for h: 1/(2h)+5/h = 3/(h-1)
The solution is h= 11/5