question_answer

Verify \[x+y=y+x,\] if \[x=\frac{-3}{16}\] and \[y=\frac{1}{9}.\]

Answer:

\[x+y=-\frac{3}{16}+\frac{1}{9}\]

\[=\frac{-3\times 9+1\times 16}{144}\]

[\[\because \]LCM of 16 and 9 is 144]

\[=\frac{-27+16}{144}=\frac{-11}{144}\]

\[y+x=\frac{1}{9}+\frac{-3}{16}\]

\[=\frac{1}{9}-\frac{3}{16}\]

\[=\frac{16\times 1-9\times 3}{144}\]

\[=\frac{16-27}{144}=-\frac{11}{144}\]

\[\Rightarrow \]   \[x+y=y+x.\]