Q. 164.0( 4 Votes )

# The pair of equations x + 2y + 5 = 0 and – 3x – 6y + 1 = 0 has

A. a unique solution

B. exactly two solutions

C. infinitely many solutions

D. no solution

Answer :

We have,

x + 2y + 5 = 0

And, – 3x – 6y + 1 = 0

Here, a_{1} = 1, b_{1} = 2 and c_{1} = 5

a_{2} = – 3, b_{2} = – 6 and c_{2} = 1

∴

And,

∴

Hence, the given system has no solution

Thus, option D is correct

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