Mathematics - Sets and Relations Question with Solution | TestHub

Let the relations $R_1$ and $R_2$ on the set $X=\{1,2,3,\dots ,20\}$ be given by $R_1=\{(x,y):2x-3y=2\}$ and $R_2=\{(x,y):-5x+4y=0\}$. If $M$ and $N$ be the minimum number of elements required to be added in $R_1$ and $R_2$, respectively, in order to make the relations symmetric, then $M+N$ equals