Find the condition for the following system of linear equations that will have unique solutions.

$ax+by=c, lx+my=n$

For what value of $k$, the following system of equations will represent the coincident lines?

$x+2y+7=0, 2x+ky+14=0$

Find the values of $\mathrm{a}$ and $\mathrm{b}$ so that the following system of linear equations has infinite solutions.

$\left(2a-1\right)x+3y-5=0, 3x+\left(b-1\right)y-2=0$ 

Find the values of $a$ and $b$ so that the following system of linear equations has infinite solutions.

$2x-3y=7, \left(a+b\right)x-\left(a+b-3\right)y=4a+b$ 

Find the values of $\mathrm{a}$ and $\mathrm{b}$ so that the following system of linear equations has infinite solutions.

$2x+3y=9, \left(a+b\right)x+\left(2a-b\right)y=3\left(a+b+1\right)$

Solve the following system of equation graphically:

$2x+3y=2$

$x-2y=8$

Solve the following system of equations graphically:

$3x+2y=4$

$2x-3y=7$

Solve the following system of equations graphically:

$3x+y+1=0$

$2x-3y+8=0$

Solve the following system of equations graphically:

$2x+3y+5=0$

$3x-2y-12=0$