Question

W=Y(b+A) , for b Solve the equation for the specified variable which is b

Answer 1

Answer:

  $b=\dfrac{W}{Y}-A$

Step-by-step explanation:

As with any "solve for ..." problem, you undo what is done to the variable of interest. Here, what is done is ...

• A is added
• the sum is multiplied by Y

You "undo" these operations in reverse order (from the bottom of the list up). To undo multiplication, you multiply by the reciprocal:

  $W\dfrac{1}{Y}=Y(b+A)\dfrac{1}{Y}=b+A$

To undo the addition of A, add the opposite of A:

  $\dfrac{W}{Y}-A=b+A-A\\\\b=\dfrac{W}{Y}-A$

Answer 2

Answer:

$b = \frac{W}{Y}-A$

Step-by-step explanation:

Your essentially just trying to get b by itself.

$W=Y(b+A)$

First, distribute the Y.

$W= Yb + YA$

Then, divide both sides by Y.

$\frac{W}{Y}=b+A$

Finally, subtract A from both sides.

$b = \frac{W}{Y}-A$