What is the answer to 9+2/(w-1)=-4/(w-2) ?

The answer to 9+2/(w-1)=-4/(w-2) is w= 5/3 ,w= 2/3

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9+2/(w-1)=-4/(w-2)

9 + \frac{2}{w - 1} = - \frac{4}{w - 2}

w = \frac{5}{3}, w = \frac{2}{3}

Decimal Notation

w = 1.66666 \dots, w = 0.66666 \dots

Solution steps

9 + \frac{2}{w - 1} = - \frac{4}{w - 2}

Multiply by LCM

9 (w - 1) (w - 2) + 2 (w - 2) = - 4 (w - 1)

Solve

9 (w - 1) (w - 2) + 2 (w - 2) = - 4 (w - 1) : w = \frac{5}{3}, w = \frac{2}{3}

w = \frac{5}{3}, w = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

w = 1, w = 2

Combine undefined points with solutions:

w = \frac{5}{3}, w = \frac{2}{3}

t, h = \frac{2}{t ^{3}} f

3.3 = 5 \cdot \frac{x}{1000 + x}

\frac{4}{x - 5} = \frac{2}{x + 6}

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

\frac{x - 6}{x - 5} = 0

What is the answer to 9+2/(w-1)=-4/(w-2) ?
The answer to 9+2/(w-1)=-4/(w-2) is w= 5/3 ,w= 2/3
Solve for w: 9+2/(w-1)=-4/(w-2)
The solution is w= 5/3 ,w= 2/3