We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# Rearranging Formula - 1

0
274
1

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

Jan 29, 2018

### 1+0 Answers

#1
+1

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)

$$x = yz + y\\ x=y(z+1)\\ \frac{x}{z+1}=\frac{y(z+1)}{z+1}\\ now \;\;cancel\\ \frac{x}{z+1}=y\\ \text{Now swap sides}\\ y=\frac{x}{z+1}$$

.
Jan 29, 2018