rearrange the equation to make b the subject:

Question

a = 1/3 (b+c)

Answer 1

To rearrange the equation and make b the subject, follow these steps:

1. Begin with the given equation:
a = 1/3 (b + c)

2. Multiply both sides of the equation by 3 to eliminate the fraction:
3 * a = 3 * (1/3 (b + c))
3a = b + c

3. Subtract c from both sides of the equation:
3a - c = b

Therefore, the rearranged equation with b as the subject is:
b = 3a - c

Answer 2

can you explain again but step by step and more simpler

Answer 3

Sure! Here is a step-by-step explanation to rearrange the equation and make b the subject:

1. Start with the equation:
a = 1/3 (b + c)

2. Distribute the 1/3 to both terms inside the parentheses:
a = 1/3 * b + 1/3 * c

3. Simplify the equation:
a = b/3 + c/3

4. Subtract c/3 from both sides:
a - c/3 = b/3

5. Multiply both sides by 3 to eliminate the fraction on the right side:
3 * (a - c/3) = 3 * (b/3)
3a - c = b

So the equation rearranged to have b as the subject is:
b = 3a - c