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Question

Mathematics Question on Differential Calculus

Let the system of equations
x + ay + z = 1
2x + 4y + z = -b
3x + y + 2z = b + 2
have infinitely many solutions, where a and b are real constants. Then the value of 2a + 8b equals

A

-11

B

-10

C

-13

D

-14

Answer

-10

Explanation

Solution

The correct option is (B) : -10.