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The number of values of K for which the system of equations \( \Large \left(K+1\right)x+84=4K \) and \( \Large Kx+ \left(K+3\right)y=3 K-1 \) has infinitely many solution, is:

A) 0
B) 1
C) 2
D) infinite

Correct Answer:


B) 1

Description for Correct answer:
For infinitely many solutions, we must have

\( \Large \frac{K+1}{K}=\frac{8}{K+3}=\frac{4K}{3K-1} \)

=> \( \Large K = 1 \)

Part of solved Quadratic Equations questions and answers : >> Elementary Mathematics >> Quadratic Equations

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Similar Questions

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