Question 105(iii)
Verify the property x + y = y + x of rational number by taking
$x = \frac{- 3}{7}$ and $y = \frac{20}{21}$

Open in App

Solution

Given, $x = \frac{- 3}{7}$ and $y = \frac{20}{21}$
Then, LHS $= x + y = \frac{- 3}{7} + \frac{20}{21} = \frac{- 9 + 20}{21} = \frac{11}{21}$
RHS $= y + x = \frac{20}{21} - \frac{3}{7} = \frac{20 - 9}{21} = \frac{11}{21}$
$∴$ LHS = RHS $\Rightarrow x + y = y + x$
Hence verified.

Suggest Corrections

Similar questions

x = \frac{- 3}{7}

y = \frac{20}{21}

x = \frac{- 2}{3}

y = \frac{- 5}{6}

x = \frac{1}{2}

y = \frac{1}{2}

Question 108(i)
Verify the property $x \times y = y \times x$ of rational numbers by using $x = 7$ and $y = \frac{1}{2}$

x = \frac{- 2}{3}

y = \frac{- 5}{6}

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program