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Question

If the pair of linear equations 4x + (k + 1)y = 15 and 7x + 8y = 16 has no solution, then the value of k is

A
132
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B
257
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C
152
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D
397
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Solution

The correct option is B 257

Given : 4x+(k+1)y=15 and 7x+8y=16
For a pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to have no solution,
a1a2=b1b2c1c2
47=k+181516
4×8=7(k+1)
7k=327
k=257
Hence, the correct answer is option (2).

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