Question

Rearrange
X=2w + 1 over 5 – 3w
to make w the subject.
(4 marks)
W =

Answer 1

Rearranging the expression
`x=(2w+1)/(5-3w)` to make w the subject we get
`\mathbf{w=(1-5x)/(-3x-2) }`

Explanation:

We need to rearrange the expression
`x=(2w+1)/(5-3w)` to make w the subject.

`x=(2w+1)/(5-3w)\\x(5-3w)=2w+1\\5x-3wx=2w+1\\`

Subtract 2w on both sides

`5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\`

Subtract 5x on both sides

`5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\`

Taking w common on left hand side

`w(-3x-2)=1-5x\\`

Divide both sides by -3x-2

`(w(-3x-2))/(-3x-2) =(1-5x)/(-3x-2)\\w=(1-5x)/(-3x-2)`

So, rearranging the expression
`x=(2w+1)/(5-3w)` to make w the subject we get
`\mathbf{w=(1-5x)/(-3x-2) }`