Question

1. \\(\frac{5}{6}k = -10\\)

Explanation:

Step1: Isolate \( k \) by multiplying both sides by \( \frac{6}{5} \)

To solve for \( k \) in the equation \( \frac{5}{6}k = -10 \), we multiply both sides by the reciprocal of \( \frac{5}{6} \), which is \( \frac{6}{5} \). This gives us \( k = -10 \times \frac{6}{5} \).

Step2: Calculate the right-hand side

First, simplify \( -10 \times \frac{6}{5} \). We can rewrite \( -10 \) as \( \frac{-10}{1} \), then multiply the numerators and denominators: \( \frac{-10 \times 6}{1 \times 5} = \frac{-60}{5} \). Dividing \( -60 \) by \( 5 \) gives \( -12 \).

Answer:

\( k = -12 \)