Questions: Solve for v V + 4/5 = -1/3

Solve for v V + 4/5 = -1/3
Transcript text: Solve for v V+ 4 over $5=-1$ over 3
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Solution

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Solution Steps

Step 1: Eliminate the Fraction

To eliminate the fraction, multiply both sides of the equation by 5:

5⋅v+45=5⋅(−13) 5 \cdot \frac{v + 4}{5} = 5 \cdot \left(-\frac{1}{3}\right)

This simplifies to:

v+4=−53 v + 4 = -\frac{5}{3}

Step 2: Isolate vv

Subtract 4 from both sides to solve for vv:

v=−53−4 v = -\frac{5}{3} - 4

Convert 4 to a fraction with a denominator of 3:

v=−53−123 v = -\frac{5}{3} - \frac{12}{3}

Combine the fractions:

v=−5+123=−173 v = -\frac{5 + 12}{3} = -\frac{17}{3}

Final Answer

The solution for vv is:

v=−173 \boxed{v = -\frac{17}{3}}

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