How do you solve and check your solution given $\frac{3}{2} = w + \frac{3}{5}$ $3/2=w+3/5$ ?

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How do you solve and check your solution given $\frac{3}{2} = w + \frac{3}{5}$ $3/2=w+3/5$ ?

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Answer 1 · 2017-06-02T00:18:06

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

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

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

That's your solution.

Well you can just substitute $w = \frac{9}{10}$ $w = 9/10$ in the equation and see if both sides amount to the same value,

$\frac{3}{2} = \frac{9}{10} + \frac{3}{5}$ $3/2 = 9/10 + 3/5$
$\Rightarrow \frac{3}{2} = \frac{9 + 6}{10}$ $implies 3/2 = (9+6)/10$

This gives $\frac{3}{2} = \frac{15}{10}$ $3/2 = 15/10$ which let's your check your answer.

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How do you solve and check your solution given $\frac{3}{2} = w + \frac{3}{5}$ $3/2=w+3/5$ ?

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