Question

A pair of linear equation a,x+b,y+c =0 and a_2x+b_2y+3_2=0 is said to be inconsistent if

Answer 1

Answer:

The given pair of linear equation can be written as

2ax+by−a=0 and 4ax+2by−2a

Here, a1=2a,b1=b,c1=−a 

And a2=4a,b2=2b,c2=−2a

∴a2a1=4a2a=21 and b2b1=2bb=21 and c2c1=−2a−a=21

Here, a2a1=b

Answer 2

Question:—

A pair of linear equation $\bold{a_1x+b_1y+c_1=0}$ and $\bold{a_2x+b_2y+c_2=0}$ is said to be inconsistent if .

Solution :—

A pair of linear equation $\bold{a_1x+b_1y+c_1=0}$ and $\bold{a_2x+b_2y+c_2=0}$ is said to be inconsistent ,

$If \: \: \: \: \bold{ \frac{a_1}{a_2} = \frac{b_1}{b_2} ≠ \: \frac{c_1}{c_2} }$