Question

4. 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
5 31​

Answer 1

Step-by-step explanation:

Given,

ax + by = c ........ i

mx + ny = d ....... ii

an = bm ........iii

Multiplying i by ii, we get

( ax + by) (mx + ny) = cd

ax(mx + ny) + by ( mx + ny ) = cd

amx² + anxy + bmxy + bny² = cd

amx² + anxy + anxy + bny² = cd from iii

amx² + 2anxy + bny² = cd

amx² + 2anxy + (an/m)ny² = cd from iii

amx² + 2anxy + an²y²/m = cd

a [ mx² + 2nxy + n²y²/m] = cd

so there are no solutions