What is the answer to m/(m+1)+5/(m-1)=1 ?

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

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m/(m+1)+5/(m-1)=1

\frac{m}{m + 1} + \frac{5}{m - 1} = 1

m = - \frac{3}{2}

Decimal Notation

m = - 1.5

Solution steps

\frac{m}{m + 1} + \frac{5}{m - 1} = 1

Multiply by LCM

m (m - 1) + 5 (m + 1) = (m + 1) (m - 1)

Expand

m (m - 1) : m^{2} - m

m^{2} - m + 5 (m + 1) = (m + 1) (m - 1)

Expand

5 (m + 1) : 5 m + 5

m^{2} - m + 5 m + 5 = (m + 1) (m - 1)

Add similar elements:

- m + 5 m = 4 m

m^{2} + 4 m + 5 = (m + 1) (m - 1)

Expand

(m + 1) (m - 1) : m^{2} - 1

m^{2} + 4 m + 5 = m^{2} - 1

Move

5

to the right side

m^{2} + 4 m = m^{2} - 6

Move

m^{2}

to the left side

4 m = - 6

Divide both sides by

4

m = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

m = - 1, m = 1

Combine undefined points with solutions:

m = - \frac{3}{2}

(1) = \frac{1}{s}

x, z = \frac{x - 5}{m x}

\frac{24}{5} = \frac{- 31}{2 n}

f, \frac{k - g}{f - 7} = h

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

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