An algebra problem by satyajit panda

Algebra Level 3

For which of the following pairs of values of \(a\) and \(b\) will the system:

\[ \begin{cases} 2x - 3y = 11 \\ (a+b) x - (a+b-3) y = 4a + b \\ \end{cases} \]

have an infinite number of solutions?

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