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 $\frac{2}{5} w$

Which means $\frac{2}{5}$ 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

$\frac{2}{5}w= 40$

Multiplying both sides by 5/2, we get

$\frac{5}{2}( \frac{2}{5} w)=\frac{5}{2} (40)$

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

$\frac{2}{5} (100)=\frac{200}{5} =40$

Hence the value of w = 100