Question

Question 105(iv)
Verify the property x + y = y + x of rational number by taking
$x=\frac{-2}{5}$ and $y=\frac{-9}{10}$

Answer 1

Given, $x=\frac{-2}{5}$ and $y=\frac{-9}{10}$
Then, LHS $=x+y=\frac{-2}{5}+\frac{-9}{10}=\frac{-2}{5}-\frac{9}{10}=\frac{-4-9}{10}=\frac{-13}{10}$
RHS $=y+x=\frac{-9}{10}+\frac{-2}{5}=\frac{-9}{10}-\frac{2}{5}=\frac{-9-4}{10}=\frac{-13}{10}$
$\therefore$ LHS = RHS $\Rightarrow x+y=y+x$
Hence verified.