What is the answer to (3w+7)/w =(w-9)/(w-1) ?

The answer to (3w+7)/w =(w-9)/(w-1) is w= 1/2 ,w=-7

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(3w+7)/w =(w-9)/(w-1)

\frac{3 w + 7}{w} = \frac{w - 9}{w - 1}

w = \frac{1}{2}, w = - 7

Decimal

w = 0.5, w = - 7

Solution steps

\frac{3 w + 7}{w} = \frac{w - 9}{w - 1}

Cross multiply

(3 w + 7) (w - 1) = w (w - 9)

Solve

(3 w + 7) (w - 1) = w (w - 9) : w = \frac{1}{2}, w = - 7

w = \frac{1}{2}, w = - 7

Verify Solutions

Find undefined (singularity) points:

w = 0, w = 1

Combine undefined points with solutions:

w = \frac{1}{2}, w = - 7

\frac{9}{6} = \frac{24}{j}

3 - a = \frac{2}{a}

8 - \frac{8}{x ^{2}} = 0

- \frac{10 x}{( x ^{2} - 4 ) ^{2}} = 0

1 + \frac{5}{x - 1} = \frac{3 x + 7}{x ^{2} - 1}

What is the answer to (3w+7)/w =(w-9)/(w-1) ?
The answer to (3w+7)/w =(w-9)/(w-1) is w= 1/2 ,w=-7
Solve for w: (3w+7)/w =(w-9)/(w-1)
The solution is w= 1/2 ,w=-7