What is the answer to 5/w = 3/(w+1) ?

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

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5/w = 3/(w+1)

\frac{5}{w} = \frac{3}{w + 1}

w = - \frac{5}{2}

Decimal Notation

w = - 2.5

Solution steps

\frac{5}{w} = \frac{3}{w + 1}

Cross multiply

5 w + 5 = w \cdot 3

Move

5

to the right side

5 w = w \cdot 3 - 5

Move

w 3

to the left side

2 w = - 5

Divide both sides by

2

w = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

w = 0, w = - 1

Combine undefined points with solutions:

w = - \frac{5}{2}

\frac{3}{x - 2} = 5

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

\frac{20}{x} = \frac{6}{15}

\frac{7}{4} = \frac{5}{x}

11 = \frac{33}{b}