Find (x + y) + (x - y), ifx=2 3 ,y=3 2 - Vidyadip

Question

Find (x + y) + (x - y), if$\text{x}=\frac{2}{3},\text{y}=\frac{3}{2}$

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Answer

$\text{x}=\frac{2}{3},\text{y}=\frac{3}{2}$
$(\text{x}+\text{y})\div(\text{x}-\text{y})$
$=\Big(\frac{2}{3}+\frac{3}{2}\Big)\div\Big(\frac{2}{3}-\frac{3}{2}\Big)$
$=\Big(\frac{4+9}{6}\Big)\div\Big(\frac{4-9}{6}\Big)$
$=\Big(\frac{4+9}{6}\Big)\times\Big(\frac{6}{4-9}\Big)$
$=\Big(\frac{4+9}{4-9}\Big)$
$=\Big(\frac{13}{-5}\Big)$
$=\Big(\frac{-13}{5}\Big)$

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