Question

ax + by=c and mx+ny=d and an≠bm then these simultaneous equations have -
(A) Only one common solution.
(B) No solution
(C) Infinite number of solutions
(D) Only two solutions

The answer is (A)
please explain it

Answer 1

Hi ,

********************************************

Relation between the coefficients and

nature of system of equations.

ax+ by - c = 0 , mx + ny - d = 0 are two

linear equations ,

if a/m ≠ b/n

or
an ≠ bm

then the pair of linear

equations is consistent.

The lines intersecting each other .

Therefore ,

they have one common point

and one Unique solution.
******************************************†

Option ( A ) is correct.

I hope this helps you.

: )

Answer 2

Relation between the coefficients and

nature of system of equations.

ax+ by - c = 0 , mx + ny - d = 0 are two

linear equations ,

if a/m ≠ b/n

or

an ≠ bm

then the pair of linear

equations is consistent.

The lines intersecting each other .

Therefore ,

they have one common point

and one Unique solution.

******************************************†

Option ( A ) is correct.

I hope this helps you..