rearrange the equation to make b the subject:
a = 1/3 (b+c)
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
can you explain again but step by step and more simpler
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
To rearrange the equation to make "b" the subject, we need to isolate "b" on one side of the equation.
Given the equation: a = 1/3 (b + c)
First, we can distribute the 1/3 to the terms inside the parentheses:
a = 1/3 * b + 1/3 * c
Next, we can subtract 1/3 * c from both sides of the equation to isolate the term with "b":
a - 1/3 * c = 1/3 * b
Now, to solve for "b," we can multiply both sides of the equation by 3 (the reciprocal of 1/3):
3 * (a - 1/3 * c) = 3 * (1/3 * b)
This simplifies to:
3a - c = b
Therefore, the equation rearranged to make "b" the subject is b = 3a - c.