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## Homework Statement

For the following system, indicate for what values of a and b the system will have

i.) One Solution

ii.) No Solutions

iii.) Infinitely Many Solutions

## Homework Equations

2x + y - az = 1

5x + 3y - 2az = 2+2b

x + y + az = b

## The Attempt at a Solution

[ 1 0 -2a | 1-b ]

[ 0 1 2a | 3b-1 ]

[ 0 0 a | -b ]

Every time I row reduce the system I end up with a row echelon form that leaves me with no means to decipher a and b. Making me think I'm doing something wrong.

Thanks.

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