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

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What is the value of (k) for (2x+5y=16) and (6x+15y=k) to have infinitely many solutions?

Answer and explanation

Correct answer: (48)

The second equation must be (3) times the first so (k=48). For infinitely many solutions all ratios must be equal.

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

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