The following is a pair of linear equations in two variables:

$7x-5y=4$ and $14x+ky=-4$

Answer the following question with reference to the given pair of equations:

Write down the condition for unique solutions.

The following is a pair of linear equations in two variables:

$7x-5y=4$ and $14x+ky=-4$

Answer the following question with reference to the given pair of equations:

Find the value of $k$.

Find the solution of the following pair of linear equation by elimination method:

$2x+3y=5$ and $3x+4y=6$

Find the solution of the following pair of linear equation by cross-multiplication method:

$x-4y=11$ and $2x+5y=-4$

Find the solution of the following pair of linear equations graphically :

$2x+y=7$ and $x+2 y=8$

Rewrite and complete the following tables.

$2 x+y=7$                  $x+2y=8$

$\begin{array}{|llll|}\hline \mathbf{x}& & & \\ \mathbf{y}& & & \\ \hline\end{array}$                        $\begin{array}{|llll|}\hline \mathbf{x}& & & \\ \mathbf{y}& & & \\ \hline\end{array}$

(Plot at least $3$ points for each line using a graph paper).

Find the solution of the following pair of linear equation by elimination method:

$5x+8y=9$ and $2x+3y=4$

Find the solution of the following pair of linear equation by cross multiplication method

$2x+3y=17$ and $3x-2y=6$