Question

The simultaneous equatoins 2x + 3y = 5, 4x + 6y = 10 have : 

(a) no solution 

(b) only one solution 

(c) only two solutions 

(d) several solutions

Answer 1

(d) several solutions

Check for \(\frac{a_1}{a_2}\)\(\ne\)\(\frac{b_1}{b_2}\), \(\frac{a_1}{a_2}\)= \(\frac{b_1}{b_2}\)\(\ne\)\(\frac{c_1}{c_2}\)

and \(\frac{a_1}{a_2}\)= \(\frac{b_1}{b_2}\)=\(\frac{c_1}{c_2}\)

Here a₁ =2, b₁ =3,c₁= -5

a₂ = 4, b₂ = 6, c₂ = –10.