Respuesta :

Answer:

  [tex]b=\dfrac{W}{Y}-A[/tex]

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:

  [tex]W\dfrac{1}{Y}=Y(b+A)\dfrac{1}{Y}=b+A[/tex]

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

  [tex]\dfrac{W}{Y}-A=b+A-A\\\\b=\dfrac{W}{Y}-A[/tex]

Answer:

[tex]b = \frac{W}{Y}-A[/tex]

Step-by-step explanation:

Your essentially just trying to get b by itself.

[tex]W=Y(b+A)[/tex]

First, distribute the Y.

[tex]W= Yb + YA[/tex]

Then, divide both sides by Y.

[tex]\frac{W}{Y}=b+A[/tex]

Finally, subtract A from both sides.

[tex]b = \frac{W}{Y}-A[/tex]