A Beautiful Equation

Algebra Level 4

2x+3y=72x+3y=7 and a(x+y)b(xy)=3a+b2a(x+y)-b(x-y)=3a+b-2.

For what values of aa and bb does the above pair of equations have an infinite number of solutions?

Write the solution as a2+2ab+b2a^2+2ab+b^2.

This problem is original.
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