Answer
$(x,y) \in R$
Work Step by Step
We have two equations such as: $4x=2y+6$ and $y=2x-3$
Plug the above value of $y$ in the first equation.
$4x=2(2x-3)+6$
or, $4x=4x-6+6$
Thus, we can see that no solution for $x,y$
Hence, $(x,y) \in R$