Question

solve for u.\\(\frac{5}{6}u + 2 - u = \frac{1}{6}u\\)\\(u = \\)

Explanation:

Step1: Combine like terms on left

$\frac{5}{6}u - u + 2 = \frac{5}{6}u - \frac{6}{6}u + 2 = -\frac{1}{6}u + 2$

Step2: Set equal to right side

$-\frac{1}{6}u + 2 = \frac{1}{6}u$

Step3: Add $\frac{1}{6}u$ to both sides

$2 = \frac{1}{6}u + \frac{1}{6}u = \frac{2}{6}u = \frac{1}{3}u$

Step4: Solve for u (multiply both sides by 3)

$u = 2\times3 = 6$

Answer:

6