# How do you solve and check your solution given 3/2=w+3/5?

Jun 2, 2017

We have $\frac{3}{2} = w + \frac{3}{5}$

Subtracting $\frac{3}{5}$ from both sides,

$\frac{3}{2} - \frac{3}{5} = w$
$\implies w = \frac{15 - 6}{10}$
$\implies w = \frac{9}{10}$

Well you can just substitute $w = \frac{9}{10}$ in the equation and see if both sides amount to the same value,
$\frac{3}{2} = \frac{9}{10} + \frac{3}{5}$
$\implies \frac{3}{2} = \frac{9 + 6}{10}$
This gives $\frac{3}{2} = \frac{15}{10}$ which let's your check your answer.