Sure, let's solve the equation step by step to determine [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex] and [tex]\( a \)[/tex].
The given equation is:
[tex]\[ a x + 6 y = 24 \][/tex]
Our goal is to solve for [tex]\( y \)[/tex]. We'll do this by isolating [tex]\( y \)[/tex] on one side of the equation.
Step 1: Subtract [tex]\( a x \)[/tex] from both sides of the equation:
[tex]\[ 6 y = 24 - a x \][/tex]
Step 2: Divide both sides of the equation by 6 to isolate [tex]\( y \)[/tex]:
[tex]\[ y = \frac{24 - a x}{6} \][/tex]
This matches one of the given options. So, we can see that the solution is:
[tex]\[ y = \frac{24 - a x}{6} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{B. \ y = \frac{24 - a x}{6}} \][/tex]
