Question

solve for u.
\\(\frac{u}{4} + 2 = \frac{u}{5}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Subtract \( \frac{u}{4} \) from both sides

\( 2 = \frac{u}{5} - \frac{u}{4} \)

Step2: Find a common denominator for the right side

The common denominator of 5 and 4 is 20, so \( \frac{u}{5} - \frac{u}{4} = \frac{4u - 5u}{20} = \frac{-u}{20} \)

Step3: Solve for \( u \)

We have \( 2 = \frac{-u}{20} \), multiply both sides by -20: \( u = 2 \times (-20) = -40 \)

Answer:

\( u = -40 \)