Question

literal equations
solve for k.
$8k + 2m = 3m + k$
options:
$k = \frac{7}{m}$
$k = 70m$
$k = 7m$
$k = \frac{m}{7}$

Explanation:

Step1: Move terms with k to left and m to right

Subtract \( k \) from both sides: \( 8k - k + 2m = 3m + k - k \), which simplifies to \( 7k + 2m = 3m \). Then subtract \( 2m \) from both sides: \( 7k + 2m - 2m = 3m - 2m \), giving \( 7k = m \).

Step2: Solve for k

Divide both sides by 7: \( k = \frac{m}{7} \).

Answer:

\( k = \frac{m}{7} \) (the option \( k = \frac{m}{7} \))