Question

2/5w =40 solve the equation and check the solution

Answer 1

w=100
because you do 40 divided by 2/5 which is 100

Answer 2

This is a linear equation.

To solve a linear equation we shall use the reverse operation.

Here we have
`(2)/(5) w`

Which means
`(2)/(5)` times w.

The reverse operation of times is division.

For a fraction we may multiply by the flip fraction. Here we shall multiply both sides by 5/2

We get

`(2)/(5)w= 40`

Multiplying both sides by 5/2, we get

`(5)/(2)( (2)/(5) w)=(5)/(2) (40)`

Simplifying we get

`w=100`

Now to verify, let us substitute 100 in the left side to see if we get 40 as the answer

`(2)/(5) (100)=(200)/(5) =40`

Hence the value of w = 100