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The equations in x\y 2x-3y=3, ax+by=- 1, 3x+2y =1,2ax+3by=3 have the same solution.

Then the solutions of these two equations should satisfy the equations 2x-3y=3 and 2x+2y= 1 1.

So the solutions of the two equations are both equations.

2x-3y=3

3x+2y= 1 1

The solution of

By solving the above equation, x=3, y= 1.

Alternatives such as ax+by=- 1 and 2ax+3by=3 give:

3a+b=- 1

6a+3b=3

a=-2,b=5

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