The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $X$-axis.

Determine,algebraically,the vertices of the triangle formed by the lines $5x - y = 5$,$x + 2y = 1$,and $6x + y = 17$.

$A$ shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days,and an additional charge for each day thereafter. Latika paid $Rs. 22$ for a book kept for six days,while Anand paid $Rs. 16$ for the book kept for four days. Find the fixed charges and the charge for each extra day (in $Rs.$).

The solution set of a pair of equations $x+y-2=0$ and $2x+2y-4=0$ is $\ldots \ldots \ldots . . . .$

Solve the following pair of equations by the cross-multiplication method:
$\frac{x}{5} - \frac{y}{4} = \frac{9}{40}$
$\frac{x}{3} - \frac{y}{2} = \frac{5}{12}$

For the linear equation in two variables $2x - 5y = 3$,if $y = -1$,then $x = \ldots$