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Rearrange the equation below to solve for [tex]\( y \)[/tex].

[tex]\[ ax + 6y = 24 \][/tex]

A. [tex]\( y = 4 - \frac{ax}{6} \)[/tex]

B. [tex]\( y = \frac{4 - ax}{6} \)[/tex]

C. [tex]\( y = \frac{24 - 6x}{a} \)[/tex]

D. [tex]\( y = \frac{1}{4}x - \frac{3}{2} \)[/tex]

Sagot :

GinnyAnsweridn
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]
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