Form the pair of linear equations in the following problems,and find their solutions graphically.
$5$ pencils and $7$ pens together cost ₹ $50$,whereas $7$ pencils and $5$ pens together cost ₹ $46$. Find the cost of one pencil and that of one pen.

(N/A) Let the cost of $1$ pencil be ₹ $x$ and the cost of $1$ pen be ₹ $y$.
According to the question,the algebraic representation is:
$5x + 7y = 50$
$7x + 5y = 46$
For $5x + 7y = 50$,we have $x = \frac{50 - 7y}{5}$.

$x$	$3$	$10$	$-4$
$y$	$5$	$0$	$10$

For $7x + 5y = 46$,we have $x = \frac{46 - 5y}{7}$.

$x$	$8$	$3$	$-2$
$y$	$-2$	$5$	$12$

By plotting these points on a graph,we observe that the lines intersect at the point $(3, 5)$.
Therefore,the cost of one pencil is ₹ $3$ and the cost of one pen is ₹ $5$.