Question

2a-6b=4c, solve for b

Answer 1

To solve for b in the equation 2a - 6b = 4c, subtract 2a from both sides to get -6b = 4c - 2a, then divide by -6 to isolate b, resulting in b = (4c - 2a) / -6.

Step-by-step explanation:

To solve the equation 2a - 6b = 4c for b, we need to rearrange the equation in terms of b.

First step is to isolate the term containing b:

1. 2a - 6b = 4c
2. Subtract 2a from both sides: -6b = 4c - 2a
3. Next, we divide both sides of the equation by -6 to solve for b:
4. b = (4c - 2a) / -6

Now, b is isolated and expressed as a function of a and c.

Answer 2

The equation is solved to give b = -4c + 5a/6

To determine the subject of formula, we have to know that subject of matter is the variable that is made to stand alone in an equation.

It is the variable that is being sorted out.

From the information given, we have that the equation is;

2a-6b=4c

collect the variables, we get;

-6b = 4c - 2a

Now, divide both sides by the coefficient, we have;

b = 4c - 5a/-6

b = -4c + 5a/6