Romila went to a stationery shop and purchased $2$ pencils and $3$ erasers for ₹ $9$. Her friend Sonali saw the new variety of pencils and erasers with Romila,and she also bought $4$ pencils and $6$ erasers of the same kind for ₹ $18$. Represent this situation algebraically and graphically.

(N/A) Let the cost of $1$ pencil be ₹ $x$ and the cost of $1$ eraser be ₹ $y$. The algebraic representation is given by the following equations:
$2x + 3y = 9$ $.......(1)$
$4x + 6y = 18$ $.......(2)$
To represent these graphically,we find points for each line:
For equation $(1)$,$y = \frac{9 - 2x}{3}$:

$x$	$0$	$4.5$
$y$	$3$	$0$

For equation $(2)$,$y = \frac{18 - 4x}{6}$:

$x$	$0$	$3$
$y$	$3$	$1$

When we plot these points on a graph,we observe that both lines coincide. This is because the two equations are equivalent,as equation $(2)$ is simply $2$ times equation $(1)$.