Question

if a1 x + b1y+ c1 = 0 and a2x + b2y + c2 =0 is a pair of linear equations in two variables and they have unique solution then ;

Answer 1

Answer:

what are the options.

Step-by-step explanation:

equate them you can get the answer

Answer 2

Answer:

$\dfrac{a1}{a2} \ne \dfrac{b1}{b2}$

Step-by-step explanation:

Given :

a1 x + b1 y+ c1 = 0

and

a2x + b2y + c2 =0

For unique solution it has to

$\dfrac{a1}{a2} \ne \dfrac{b1}{b2}$

Taking one example for it.

If x + y = 5 and x - y = 2.

Then show that their solution is unique.

Solution :

We have

a1 = 1

b1 = 1

and

a2 = 1

b2 = - 1

Putting values in formula we get

$\frac{1}{1} \ne \frac{ - 1}{1} \\ \\ 1 \ne - 1$

Hence condition satisfied we shown.