Question

For real constants 𝛼 and 𝛽, suppose that the system of linear equations
𝑥+2𝑦+3𝑧=6; x+ 𝑦 +𝛼𝑧 = 3; 2𝑦+𝑧=𝛽,
has infinitely many solutions. Then, the value of 4𝛼 + 3𝛽 equals

• A. 18
• B. 23
• C. 28
• D. 32

Answer 1

Answer: (C)

28

Answer 2

The correct option is (C): 28