I am having really problems getting my head around the below, making y the subject:
x = yz + y. Answer y = x/z + 1
where does the + 1 come from? Is the + y the same as + 1?
Thanks
It is NOT y=x/z + 1 IT IS t=x/(z+1) there is a big difference
\(x = yz + y \)
the aim is to make y the subject so the first thing you have to do it to facot out the y (so that you will only see one y)
\(yz+y =y*z+y*1= y(z+1)\)
so
\(x = yz + y\\ x=y(z+1) \)
Now you want the y bt itself. At the moment it is multipled by (z+1) the opposite of multiply is divide.
SO you have to divide BOTH sides by (z+1)
\(x = yz + y\\ x=y(z+1)\\ \frac{x}{z+1}=\frac{y(z+1)}{z+1}\\ now \;\;cancel\\ \frac{x}{z+1}=y\\ \text{Now swap sides}\\ y=\frac{x}{z+1} \)