Question

solve for u.
\\(-\dfrac{4}{u} = -6\\)
simplify your answer as much as possible.
\\(u = \square\\)

Explanation:

Step1: Multiply both sides by \( w \)

To eliminate the denominator, we multiply both sides of the equation \( -\frac{4}{w} = -6 \) by \( w \) (assuming \( w
eq 0 \)). This gives us:
\( -4 = -6w \)

Step2: Divide both sides by \( -6 \)

Now, we solve for \( w \) by dividing both sides of the equation \( -4 = -6w \) by \( -6 \).
\( w = \frac{-4}{-6} \)
Simplifying the fraction \( \frac{-4}{-6} \), we get \( \frac{2}{3} \) (since the negatives cancel out and we can divide numerator and denominator by 2).

Answer:

\( \frac{2}{3} \)