The cost of $2$ pencils and $3$ erasers is ₹ $9$,and the cost of $4$ pencils and $6$ erasers is ₹ $18$. Determine the cost of each pencil and each eraser.

(D) Let the cost of one pencil be ₹ $x$ and the cost of one eraser be ₹ $y$.
According to the problem,the pair of linear equations formed are:
$2x + 3y = 9$ $...(1)$
$4x + 6y = 18$ $...(2)$
We observe that equation $(2)$ is exactly $2$ times equation $(1)$.
Dividing equation $(2)$ by $2$,we get $2x + 3y = 9$,which is identical to equation $(1)$.
Since both equations represent the same line,they are coincident.
Therefore,there are infinitely many solutions for $x$ and $y$ that satisfy these equations. We cannot determine a unique cost for each pencil and eraser.