Answered

Solve the equation for the specified variable.

[tex]\[ S = BC - 6 \text{, for } B \][/tex]

[tex]\[ B = \square \][/tex]



Answer :

Sure, let's solve the equation [tex]\( S = BC - 6 \)[/tex] for the variable [tex]\( B \)[/tex].

1. Start with the given equation:
[tex]\[ S = BC - 6 \][/tex]

2. Our goal is to solve for [tex]\( B \)[/tex]. First, we need to isolate the term involving [tex]\( B \)[/tex]. To do this, add 6 to both sides of the equation:
[tex]\[ S + 6 = BC - 6 + 6 \][/tex]

3. Simplifying the right-hand side, we get:
[tex]\[ S + 6 = BC \][/tex]

4. Now we need [tex]\( B \)[/tex] by itself on one side of the equation. To achieve this, divide both sides of the equation by [tex]\( C \)[/tex]:
[tex]\[ \frac{S + 6}{C} = \frac{BC}{C} \][/tex]

5. Simplify the right-hand side:
[tex]\[ \frac{S + 6}{C} = B \][/tex]

Therefore, the solution for [tex]\( B \)[/tex] is:
[tex]\[ B = \frac{S + 6}{C} \][/tex]