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

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

Solution

Step 1: Eliminate the Fraction

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

\[ 5 \cdot \frac{v + 4}{5} = 5 \cdot \left(-\frac{1}{3}\right) \]

This simplifies to:

\[ v + 4 = -\frac{5}{3} \]

Step 2: Isolate $v$

Subtract 4 from both sides to solve for $v$:

\[ v = -\frac{5}{3} - 4 \]

Convert 4 to a fraction with a denominator of 3:

\[ v = -\frac{5}{3} - \frac{12}{3} \]

Combine the fractions:

\[ v = -\frac{5 + 12}{3} = -\frac{17}{3} \]

The solution for $v$ is:

\[ \boxed{v = -\frac{17}{3}} \]

Was this solution helpful?

Unhelpful

Helpful