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0 votes
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in Linear Equations by (41.0k points)
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For what value of k, the system of equations x + 2y = 3, 5x + ky + 7 = 0 has unique solution ? 

A) k = 10 

B) All real values except 10 

C) All natural numbers except 10 

D) Does not exist

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

Correct option is (B) All real values except 10

Condition for unique solution of given system of equations is \(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}.\)

\(\Rightarrow\) \(\frac15\neq\frac2k\)     (By comparing given system of equations with standard form of equations)

\(\Rightarrow\) \(k\neq5\times2\)

\(\Rightarrow\) \(k\neq10\)

Hence, given system of equations has unique solution for all real values except 10.

+1 vote
by (37.4k points)

Correct option is B) All real values except 10

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