Question

2/3w - 1/4 = 2/3(w - 1/4)

Answer 1

No solution

Step-by-step solution:

We are given an expression:

`(2)/(3) w-(1)/(4) =(2)/(3) (w-(1)/(4) )`

We have only one variable
`w` so we will make
`w` the subject and solve for it.

`(2)/(3) w-(1)/(4) =(2)/(3) (w-(1)/(4) )`

Solving the brackets first to get:

`(2)/(3) w -(1)/(4) =(2)/(3) -(1)/(6)`

Taking LCM on both sides to get:

`(8w-3)/(12) =(4w-3)/(6)`

By cross multiplication:

`6(8w-3)=12(4w-3)`

`48w-18 = 48w -36`

`48w - 49w -18 + 36 = 0`

`w` gets cancelled so we are left with
`18\\eq 0`

Therefore,
`w` has no solution.