Question

Solve for b in the formula 3a + 2b = c.

b = c-3a/2
b = c - 3 a
b = 2c/3a
b = c-2/3a

Answer 1

To solve for \( b \) in the equation \( 3a + 2b = c \), we can isolate \( b \) as follows:

1. Subtract \( 3a \) from both sides of the equation:
\[
2b = c - 3a
\]

2. Now, divide both sides by \( 2 \):
\[
b = \frac{c - 3a}{2}
\]

This leads us to the conclusion that the correct expression for \( b \) is:
\[
b = \frac{c - 3a}{2}
\]

From the options given, this matches the first choice:
\[
b = \frac{c - 3a}{2}
\]

None of the provided options exactly matches this solution, but option \( b = c - 3a \) is an algebraic manipulation showing the right-hand side before dividing by 2.

So, the correct answer is:
\[
b = \frac{c - 3a}{2}
\] which is often written as \( \frac{c - 3a}{2} \).