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Verify the property: X x Y = y x x by taking :

(i) x = \(\frac{-1}{3}\), y = \(\frac{2}{7}\)

(ii)  x = \(\frac{-3}{5}\), y = \(\frac{-11}{13}\)

(iii)  x = 2, y = \(\frac{7}{-8}\)

(iv)  x = 0, y = \(\frac{-15}{8}\)

1 Answer

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Best answer

(i) We have,

x x y = \(\frac{-1}{3}\times (\frac{2}{7})\)

\(\frac{-2}{21}\)

y x x = \(\frac{2}{7}\times (\frac{-1}{3})\)

 = \(\frac{-2}{21}\)

 (ii) We have,

x x y = \(\frac{-3}{5}\times (\frac{-11}{3})\)

\(\frac{33}{65}\)

y x x = \(\frac{-11}{13}\times (\frac{-3}{5})\)

 = \(\frac{33}{65}\)

 (iii) We have,

x x y = \(2\times (\frac{7}{-8})\)

\(\frac{-14}{8}\) = \(\frac{-7}{4}\)

y x x = \(\frac{7}{-8}\times 2\)

 = \(\frac{-14}{8} = \frac{-7}{4}\)

 (iv) We have,

x x y = \(0\times (\frac{-15}{78})\)

= 0

y x x = \(\frac{-15}{8}\times 0\)

 = 0

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