A Beautiful Equation

Algebra Level 4

\(2x+3y=7\) and \(a(x+y)-b(x-y)=3a+b-2\).

For what values of \(a\) and \(b\) does the above pair of equations have an infinite number of solutions?

Write the solution as \(a^2+2ab+b^2\).

This problem is original.
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