c=3/4y+b solve for y

Question

Please solve c=3/4y+b for b

Answer 1

Okay, so when you solve for a variable (letter) you must "move" every term on the same side with the variable to isolate the variable.

 

You must move the other terms by using inverse operations.

 

The 3/4y is positive so the inverse operation is subtraction.  So, subtract 3/4y from BOTH sides.

 

          c  =  3/4y + b

-3/4y         -3/4y      

c - 3/4y  = b

 

b = c - 3/4y

 

 

Another example, r - 5x = g, solve for x.

 

The r is positive so the inverse is subtraction

r - 5x = g

-r       =   -r

0 -5x = g - r

   -5x = g - r         -5x means the product of 5 and x; the inverse operation is division

 

  -5x  = g - r

    5        5

 

   1x  = g  - r 

            5    5