What is the answer to (v-5)/(v+6)= 4/9 ?

The answer to (v-5)/(v+6)= 4/9 is v= 69/5

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(v-5)/(v+6)= 4/9

\frac{v - 5}{v + 6} = \frac{4}{9}

v = \frac{69}{5}

Decimal Notation

v = 13.8

Solution steps

\frac{v - 5}{v + 6} = \frac{4}{9}

Cross multiply

9 v - 45 = 4 v + 24

Move

45

to the right side

9 v = 4 v + 69

Move

4 v

to the left side

5 v = 69

Divide both sides by

5

v = \frac{69}{5}

Verify Solutions

Find undefined (singularity) points:

v = - 6

Combine undefined points with solutions:

v = \frac{69}{5}

N + \frac{1}{N} = 10

x, S = \frac{H}{M ( x - y )}

2 x - 1 = \frac{8 x - 7}{x + 1}

\frac{1}{x - 3} = 7

\frac{2}{6} = \frac{8}{x + 1}

What is the answer to (v-5)/(v+6)= 4/9 ?
The answer to (v-5)/(v+6)= 4/9 is v= 69/5
Solve for v: (v-5)/(v+6)= 4/9
The solution is v= 69/5