Question Number 208063 by hardmath last updated on 03/Jun/24
$$\begin{cases}{\mathrm{x}\:+\:\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{y}\:=\:\mathrm{5}}\\{\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{x}\:+\:\mathrm{y}\:=\:\mathrm{11}}\end{cases}\:\:\:\:\:\Rightarrow\:\:\mathrm{x}\:+\:\mathrm{y}\:=\:? \\ $$
Answered by A5T last updated on 03/Jun/24
$${x}+{y}+\frac{\mathrm{3}}{\mathrm{5}}\left({x}+{y}\right)=\mathrm{16}=\frac{\mathrm{8}\left({x}+{y}\right)}{\mathrm{5}}\Rightarrow{x}+{y}=\mathrm{10} \\ $$