Question

Question 105(ii)
Verify the property x + y = y + x of rational number by taking
$x=\frac{-2}{3}$ and $y=\frac{-5}{6}$

Answer 1

Given, $x=\frac{-2}{3}$ and $y=\frac{-5}{6}$
Then, LHS $=x+y=\frac{-2}{3}+\frac{-5}{6}=\frac{-2}{3}-\frac{5}{6}=\frac{-4-5}{6}=\frac{-9}{6}$
and RHS $=y+x=\frac{-5}{6}+\frac{-2}{3}=\frac{-5}{6}-\frac{2}{3}=\frac{-5-4}{6}=\frac{-9}{6}$
$\therefore$ LHS = RHS $\Rightarrow x+y=y+x$
Hence verified.