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

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

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

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

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

Decimal Notation

v = 1.66666 \dots, v = 0.66666 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

v = 1, v = 2

Combine undefined points with solutions:

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

\frac{x}{( 1 - x )} = 2.5

24 = \frac{6}{x ^{4}} \cdot x^{2}

\frac{4 x + 3}{4 x - 7} = \frac{5}{3}

x \frac{3}{x} + 5 = 0

0 = \frac{x ^{2} - 4}{x - 2}

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