The simultaneous equatoins 2x + 3y = 5, 4x + 6y = 10 have : (a) no so

1.	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» (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.

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»

(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.