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Class 10 Mathematics Pair of Linear Equations in Two Variables Conditions for solvabilityMedium

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If the equations (4x+6y=18) and (2x+3y=k) have infinitely many solutions, what is the value of (k)?

Answer and explanation

Correct answer: (9)

The first equation must be (2) times the second, so (k=9). For infinitely many solutions, keep all three ratios equal.

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Linear Equations Solvability Parameter Conditions For Solvability Pair Of Linear Equations In Two Variables Mathematics Class 10 Mcq

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