What is the answer to 5/2 =(v-8)/(v-2) ?

The answer to 5/2 =(v-8)/(v-2) is v=-2

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5/2 =(v-8)/(v-2)

\frac{5}{2} = \frac{v - 8}{v - 2}

v = - 2

Solution steps

\frac{5}{2} = \frac{v - 8}{v - 2}

Cross multiply

5 v - 10 = 2 v - 16

Move

10

to the right side

5 v = 2 v - 6

Move

2 v

to the left side

3 v = - 6

Divide both sides by

3

v = - 2

Verify Solutions

Find undefined (singularity) points:

v = 2

Combine undefined points with solutions:

v = - 2

15 - \frac{42}{b} = 8

\frac{x}{2 x + 3} + 1 = 0

\frac{x}{2} = \frac{2}{x}

0 = \frac{x}{9 x ^{2} - 4}

\frac{5}{2 x} - \frac{4}{x} = 3