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From module Systems of Equations
The number of distinct points in the xyxyxy-plane common to the graphs of (x+y−5)(2x−3y+5)=0(x+y-5)(2x-3y+5)=0(x+y−5)(2x−3y+5)=0 and (x−y+1)(3x+2y−12)=0(x-y+1)(3x+2y-12)=0(x−y+1)(3x+2y−12)=0 is
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