Twoo Moore Questioons.

Right idea NinjaDevo, but you need to take care in the implementation.

Your solution to part 1 is correct only if the questioner meant b = (w - z)/v.  If the question is really as written, namely,

b = w - z/v, then one simply adds z/v to both sides to get w = b + z/v.

For part 2 you must divide every term by r, so b/r = r*w/r + r/r  or b/r = w + 1; subtract 1 from both sides to get

w = b/r - 1.

1.)  Solve for w:

b=w-z/v       ---Multiply both sides by v

bv = w-z          ---Add z to both sides

bv+z = w           ---Flip it around

w = bv+z

2.) Solve for w: 

b=rw+r             ---Divide both sides by r

b/r=w+r              ---Subtract r from both sides

b/r-r = w              ---Flip it around

w = b/r-r

Hopefully this makes sence. Basically your just manipulating the problem a little bit to get w = something rather than     b = something.

Thanks Alan, 

I see my error for the second question, but could you explain the error for the first one again...?

I just went by the order of operations, so we have 

b = w - z ÷ v

bv = w - z

bv+z = w

I believe this is assuming b = w - (z/v)...not b = (w-z)/v

I'm abit confused...further explanation would be appriciated!

We're probably doing a little more on the first one than we need to, ND.......note that we have...

B = w - z/v

Note the "z/v" is just a single term that we can add to the other side

B + z/v = w     and this "isolates" w

Does that make sense???

It makes sence to me why you can do it that way, but I'm still just a little confused on why my way is incorrect...

Maybe I'm just overthinking it.

Your way would work...the error that you made is when you multiplied both sides by v...you forgot to multiply the "w" by "v,"   too!!

Try it again and see what happens......

Oh, I see! Thanks CPhill!

Using my way it is a bit more complicated, but you get the same answer.

b=w-z/v

bv = wv - z

bv+z = wv

b+z/v = w

w = b+z/v