Exercise 3.2

On comparing the ratios $\frac{a_1}{a_2},\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$, find out whether the following pair of linear equations are consistent, or inconsistent.

On comparing the ratios $\frac{a_1}{a_2},\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$, find out whether the following pair of linear equations are consistent, or inconsistent.

$5x-3y=11$ ; $-10x+6y=-22$

On comparing the ratios $\frac{a_1}{a_2},\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$, find out whether the following pair of linear equations are consistent, or inconsistent.

$\frac{4}{3}x+2y=8$ ;  $2x+3y=12$

Is the following pair of linear equation consistent / inconsistent? If consistent, obtain the solution graphically.

$x-y=8 ,$   $3x-3y=16$

Is the following pair of linear equation consistent / inconsistent? If consistent, obtain the solution graphically.

$2x+y-6=0,$ $4x-2y-4=0$

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically :

Given the linear equation $2x+3y-8=0$, write another linear equation in two variables such that the geometrical representation of the pair so formed is parallel lines.

Given the linear equation is $2x+3y-8=0$. Write another linear equation in two variables such that the geometrical representation of the pair so formed is coincident lines