What is the answer to (w-2)/(w-1)= 4/(w+5) ?

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

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(w-2)/(w-1)= 4/(w+5)

\frac{w - 2}{w - 1} = \frac{4}{w + 5}

w = 3, w = - 2

Solution steps

\frac{w - 2}{w - 1} = \frac{4}{w + 5}

Cross multiply

(w - 2) (w + 5) = (w - 1) \cdot 4

Solve

(w - 2) (w + 5) = (w - 1) \cdot 4 : w = 3, w = - 2

w = 3, w = - 2

Verify Solutions

Find undefined (singularity) points:

w = 1, w = - 5

Combine undefined points with solutions:

w = 3, w = - 2

\frac{15}{x} - 4 = \frac{6}{x} + 3

f, f^{- 1} (x) = 2^{x}

x + 1 = \frac{2}{x + 1}

\frac{2}{x + 3} = \frac{7}{x + 7}

\frac{x}{x - 1} = \frac{4}{5}

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