What is the answer to -7= 3/(w-4) ?

The answer to -7= 3/(w-4) is w= 25/7

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-7= 3/(w-4)

- 7 = \frac{3}{w - 4}

w = \frac{25}{7}

Decimal Notation

w = 3.57142 \dots

Solution steps

- 7 = \frac{3}{w - 4}

Multiply both sides by

w - 4

- 7 (w - 4) = 3

Divide both sides by

- 7

w - 4 = - \frac{3}{7}

Move

4

to the right side

w = \frac{25}{7}

Verify Solutions

Find undefined (singularity) points:

w = 4

Combine undefined points with solutions:

w = \frac{25}{7}

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

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

x + \frac{5}{x} = 15

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

15 = \frac{x \cdot 37}{1 - x}