Answer :

The given pair of linear equations is


2x – 3y + 13 = 0


and 3x – 2y + 12 = 0


On comparing the given equations with standard form of pair of linear equations i.e. a1 x + b1y + c1 = 0 and a2 x + b2y + c2 = 0, we get


a1 = 2, b1 = – 3 and c1 = 13


and a2 = 3, b2 = – 2 and c2 = 12




The lines representing the given pair of linear equations will intersect at a point.


Now, table for or



Now, table for or




Here, the lines intersecting at point B i.e. ( – 2,3)


Hence, the unique solution is x = – 2 and y = 3.


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