How do you solve $\frac{2}{3 w} = \frac{2}{15} + \frac{12}{5 w}$ $2/(3w)=2/15+12/(5w)$ ?

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How do you solve $\frac{2}{3 w} = \frac{2}{15} + \frac{12}{5 w}$ $2/(3w)=2/15+12/(5w)$ ?

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Answer 1 · 2016-12-18T22:10:42

$w = - 13$ $w=-13$

Explanation:

$[\frac{2}{3 w} \times 1] = [\frac{2}{15} \times 1] + [\frac{12}{5 w} \times 1]$ $color(green)([2/(3w)color(red)(xx1)] =[2/15color(red)(xx1)]+[12/(5w)color(red)(xx1)]$

$[\frac{2}{3 w} \times \frac{5}{5}] = [\frac{2}{15} \times \frac{w}{w}] + [\frac{12}{5 w} \times \frac{3}{3}]$ $color(green)([2/(3w)color(red)(xx5/5)] =[2/15color(red)(xxw/w)]+[12/(5w)color(red)(xx3/3)]$

$\frac{10}{15 w} = \frac{2 w}{15 w} + \frac{36}{15 w}$ $10/(15w)=(2w)/(15w)+36/(15w)$

Multiply both sides by $15 w$ $15w$

$10 = 2 w + 36$ $10=2w+36$

Subtract 36 from both sides

$- 26 = 2 w$ $-26=2w$

Divide both sides by 2

$- \frac{26}{2} = w$ $-26/2=w$

$w = - 13$ $w=-13$

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How do you solve $\frac{2}{3 w} = \frac{2}{15} + \frac{12}{5 w}$ $2/(3w)=2/15+12/(5w)$ ?

1 Answer

Explanation:

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How do you solve $\frac{2}{3 w} = \frac{2}{15} + \frac{12}{5 w}$ $2/(3w)=2/15+12/(5w)$ ?