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Thinking about Algebra

Review question

Can we solve these equations in $x, y, z, a$ and $b$?
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Ref: R6155

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Question

Solve for \(x\), \(y\) and \(z\) the equations: \[\begin{align*} 2x-y+z&{}=0,\\ 3y+z&{}=0,\\ x+y+az&{}=b, \end{align*}\]

where \(a\) and \(b\) are constants and \(a \neq 1\).

What happens if \(a=1\)?