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  • The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have (A) a unique solution (B) exactly two solutions (C) infinitely many solutions (D) no solution

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
(A) a unique solution
(B) exactly two solutions
(C) infinitely many solutions
(D) no solution

Answers (1)

Answer: D
Solution:
In equation
x + 2y + 5 = 0
a1 = 1, b1 = 2, c1 = 5
In equation
–3x –6y + 1 = 0
a2 =–3, b2 = –6, c2 = 1
\frac{a_{1}}{a_{2}}= \frac{1}{-3}
\frac{b_{1}}{b_{2}}= \frac{2}{-6}= \frac{-1}{3}
\frac{c_{1}}{c_{2}}= \frac{5}{1}= 5
Here \frac{a_{1}}{a_{2}}= \frac{b_{1}}{b_{2}}\neq \frac{c_{1}}{c_{2}}
Hence these lines are parallel to each other and have no solution.

Posted by

infoexpert27

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