if x=az+b then z= ?

Results 1 to 3 of 3

- July 18th 2012, 12:46 PM #1

- Joined
- Jul 2012
- From
- katy
- Posts
- 9

- July 18th 2012, 12:53 PM #2

- July 18th 2012, 01:17 PM #3

- Joined
- Apr 2005
- Posts
- 16,635
- Thanks
- 1925

## Re: if x=az+b then z= ?

Another way of looking at it is that to solve for z you must "undo" what has been done to z. Initially, x= az+ b. z is not "isolated" (alone on one side of the equation) because two things have been done to it: (1) multiply by a, (2) add b. To undo, you must do the opposite of each step- in the opposite order. That is, instead of "multiply by a and then add b" we must "subtract b and then divide by a". And, of course, anything we do to one side of an equation, we must do to the other.

Starting from x= az+ b, subtracting b from both sides gives x-b= az and then dividing both sides by a gives (x-b)/a= z.