Question 2
The pair of equation 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
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Solution
Given are x + 2y + 5 = 0 and -3x - 6y + 1 = 0 Here,a1=1,b1=2,c1=5anda2=−3,b2=−6,c2=1a1a2=−13b1b2=−26=−13c1c2=51a1a2=b1b2≠c1c2
Hence, the pair of equations has no solution.