Consistency and Inconsistency of Linear Equations in Two Variables
Find the valu...
Question
Find the values of k for which the following system of equations have infinitely many solutions. (i) 2x + 3y = 7 (ii) (k + 2)x + (2k + 1)y = 3(2k - 1)
A
8
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B
2
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C
4
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D
6
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Solution
The correct option is C 4 System of equations: a1x+b1y+c1=0 a2x+b2y+c2=0 have infinite solutions if: a1a2=b1b2=c1c2 The given system of equations will have infinitely many solutions if: 2k+2=3(2k+1)=−7−3(2k−1)⇒2k+2=32k+1and3(2k+1)=−7−3(2k−1)