What is the answer to 8/3 =(v-9)/(7v+4) ?

The answer to 8/3 =(v-9)/(7v+4) is v=-59/53

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8/3 =(v-9)/(7v+4)

\frac{8}{3} = \frac{v - 9}{7 v + 4}

v = - \frac{59}{53}

Decimal Notation

v = - 1.11320 \dots

Solution steps

\frac{8}{3} = \frac{v - 9}{7 v + 4}

Cross multiply

56 v + 32 = 3 v - 27

Move

32

to the right side

56 v = 3 v - 59

Move

3 v

to the left side

53 v = - 59

Divide both sides by

53

v = - \frac{59}{53}

Verify Solutions

Find undefined (singularity) points:

v = - \frac{4}{7}

Combine undefined points with solutions:

v = - \frac{59}{53}

y, x = \frac{y}{y - 5}

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

t, v = \frac{2 π r}{t}

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

\frac{x + 3}{x - 2} = \frac{5 x}{x + 6}

What is the answer to 8/3 =(v-9)/(7v+4) ?
The answer to 8/3 =(v-9)/(7v+4) is v=-59/53
Solve for v: 8/3 =(v-9)/(7v+4)
The solution is v=-59/53