What is the answer to (v-3)/(v-1)= 2/(v+2) ?

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

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(v-3)/(v-1)= 2/(v+2)

\frac{v - 3}{v - 1} = \frac{2}{v + 2}

v = 4, v = - 1

Solution steps

\frac{v - 3}{v - 1} = \frac{2}{v + 2}

Cross multiply

(v - 3) (v + 2) = (v - 1) \cdot 2

Solve

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

v = 4, v = - 1

Verify Solutions

Find undefined (singularity) points:

v = 1, v = - 2

Combine undefined points with solutions:

v = 4, v = - 1

x - \frac{2 x + 21}{x ^{2} - x + 3} = 5

\frac{5 x - 2}{x ^{2} + 4} = 1

\frac{x}{x - 3} = \frac{1}{3}

1 + \frac{x}{x + 8} = - \frac{4}{x + 8}

\frac{25}{x} = \frac{x}{4}

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