The graph of a pair of lines $3x - 2y = 2$ and $6x - 4y = 4$ is.........

For a pair of equations $7x - 13y = 1$ and $13x - 7y = 19$,find the value of $x - y$.

From the pair of equations $x + 2y = 8 \dots(1)$ and $3x - 4y = -6 \dots(2)$,the first equation should be multiplied by ............. to eliminate $y$.

The denominator of a fraction is $6$ more than the numerator. If $1$ is added to the numerator and $3$ is subtracted from the denominator,the fraction becomes $\frac{3}{4}$. Find the fraction.

Raj got $\frac{3}{4}$ times the marks as obtained by Nil in the annual examination of Mathematics. The sum of their marks is $140$. Represent this as a pair of linear equations in two variables.

$A$ passenger buys $5$ tickets for Ahmadabad to Nadiad and $10$ tickets for Ahmadabad to Vadodara for Rs. $1050$. The total cost of a ticket for Ahmadabad to Nadiad and a ticket for Ahmadabad to Vadodara is Rs. $130$. Find the cost of a ticket for Ahmadabad to Nadiad as well as the cost of a ticket for Ahmadabad to Vadodara.