Question

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

Answer 1

v = -7/15.

Step-by-step explanation:

Given the equation:

`v+(4)/(5)=(1)/(3)`

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

`\begin{gathered} v+(4)/(5)-(4)/(5)=(1)/(3)-(4)/(5) \\ \implies v=(1)/(3)-(4)/(5) \end{gathered}`

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

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

The value of v is -7/15.