While arranging the students of standard $X$ in rows,if two rows are reduced,then one more student has to be arranged in each of the remaining rows. If three more rows are formed,then one student has to be taken off from each of the previously arranged rows. Find the total number of students in the class.

The general form of a linear equation in two variables is .......... (where,$a^{2}+b^{2} \neq 0$).

Solve the following pair of equations by the cross-multiplication method:
$\frac{x}{a} + \frac{y}{b} = a + b$
$\frac{x}{a^2} + \frac{y}{b^2} = 2$

$A$ shopkeeper sells a saree at $8 \%$ profit and a sweater at $10 \%$ discount,thereby,getting a sum of $Rs. 1008$. If she had sold the saree at $10 \%$ profit and the sweater at $8 \%$ discount,she would have got $Rs. 1028$. Find the cost price of the saree and the list price (price before discount) of the sweater (in $Rs.$).

One equation of a pair of dependent linear equations is $-5x + 7y = 2$. The second equation can be

Determine,algebraically,the vertices of the triangle formed by the lines:
$3x - y = 3$
$2x - 3y = 2$
$x + 2y = 8$