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Q15Section A (Section A)15 of 60

Linear system with infinite solutions

Let the system of equations x+ay+z=1 2x+4y+z=−b 3x+y+2z=b+2\begin{aligned} x+ay+z &= 1 \ 2x+4y+z &= -b \ 3x+y+2z &= b+2 \end{aligned} have infinitely many solutions, where aa and bb are real constants. Then the value of 2a+8b2a+8b equals

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