What is the answer to 6-7/(v+1)=-2/(v-2) ?

The answer to 6-7/(v+1)=-2/(v-2) is v= 4/3 ,v= 1/2

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6-7/(v+1)=-2/(v-2)

6 - \frac{7}{v + 1} = - \frac{2}{v - 2}

v = \frac{4}{3}, v = \frac{1}{2}

Decimal Notation

v = 1.33333 \dots, v = 0.5

Solution steps

6 - \frac{7}{v + 1} = - \frac{2}{v - 2}

Multiply by LCM

6 (v + 1) (v - 2) - 7 (v - 2) = - 2 (v + 1)

Solve

6 (v + 1) (v - 2) - 7 (v - 2) = - 2 (v + 1) : v = \frac{4}{3}, v = \frac{1}{2}

v = \frac{4}{3}, v = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

v = - 1, v = 2

Combine undefined points with solutions:

v = \frac{4}{3}, v = \frac{1}{2}

\frac{- 65}{x} = 13

\frac{z + 2}{z - 3} = \frac{5}{- 3}

x (x) = \frac{6}{x - 5 x - 6}

4 - \frac{3}{y + 2} = - \frac{3}{y + 3}

1 + \frac{3}{x ^{2}} = \frac{1}{x}

What is the answer to 6-7/(v+1)=-2/(v-2) ?
The answer to 6-7/(v+1)=-2/(v-2) is v= 4/3 ,v= 1/2
Solve for v: 6-7/(v+1)=-2/(v-2)
The solution is v= 4/3 ,v= 1/2