Question

solve for u.
\\(\frac{6}{5} = \frac{12}{u + 6}\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$6(u + 6) = 12 \times 5$

Step2: Simplify both sides

$6u + 36 = 60$

Step3: Subtract 36 from both sides

$6u = 60 - 36$
$6u = 24$

Step4: Divide by 6 to solve for u

$u = \frac{24}{6}$
$u = 4$

Answer:

$u = 4$