Question

solve for v.
$v + \frac{1}{2} = 3$
$v = \boxed{}$

Explanation:

Step1: Subtract $\frac{1}{2}$ from both sides

To solve for \( v \), we need to isolate \( v \) on one side of the equation. We can do this by subtracting \(\frac{1}{2}\) from both sides of the equation \( v + \frac{1}{2} = 3 \).
\[
v + \frac{1}{2} - \frac{1}{2} = 3 - \frac{1}{2}
\]

Step2: Simplify both sides

Simplifying the left side, \( v + \frac{1}{2} - \frac{1}{2} = v \). For the right side, we convert \( 3 \) to a fraction with a denominator of \( 2 \), so \( 3=\frac{6}{2} \). Then we subtract:
\[
v=\frac{6}{2}-\frac{1}{2}=\frac{6 - 1}{2}=\frac{5}{2}
\]

Answer:

\( v=\frac{5}{2} \)