Question
Find (x + y) + (x - y), if
$\text{x}=\frac{5}{4},\text{y}=\frac{-1}{3}$
✓
Answer
$\text{x}=\frac{5}{4},\text{y}=\frac{-1}{3}$
$(\text{x}+\text{y})\div(\text{x}-\text{y})$
$=\Big(\frac{5}{4}+\frac{-1}{3}\Big)\div\Big(\frac{5}{4}-\frac{-1}{3}\Big)$
$=\Big(\frac{5\times3-1\times4}{12}\Big)\div\Big(\frac{12}{5\times3+1\times4}\Big)$
$=\Big(\frac{5\times3-1\times4}{{5\times3+1\times4}}\Big)$
$=\Big(\frac{11}{19}\Big)$
$(\text{x}+\text{y})\div(\text{x}-\text{y})$
$=\Big(\frac{5}{4}+\frac{-1}{3}\Big)\div\Big(\frac{5}{4}-\frac{-1}{3}\Big)$
$=\Big(\frac{5\times3-1\times4}{12}\Big)\div\Big(\frac{12}{5\times3+1\times4}\Big)$
$=\Big(\frac{5\times3-1\times4}{{5\times3+1\times4}}\Big)$
$=\Big(\frac{11}{19}\Big)$
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