Question

Solve for v. v + 4/5 = 1/3. Simplify your answer as much as possible.

Answer 1

Answer:

v = -7/15.

Explanation:

Given the equation:

$v+\frac{4}{5}=\frac{1}{3}$

To solve for v, first, subtract 4/5 from both sides of the equation:

$\begin{gathered} v+\frac{4}{5}-\frac{4}{5}=\frac{1}{3}-\frac{4}{5} \\ \implies v=\frac{1}{3}-\frac{4}{5} \end{gathered}$

Next, simplify the right-hand side by taking the lowest common multiple of the denominators:

$\begin{gathered} v=\frac{5-3(4)}{15}=\frac{5-12}{15} \\ \implies v=-\frac{7}{15} \end{gathered}$

The value of v is -7/15.