Q. 9 G5.0( 2 Votes )

Solve graphically the following system of linear equations if it has unique solution:

3x — 5y = —1

2x — y = —3

Answer :

The given pair of linear equations is


3x – 5y = – 1 or 3x – 5y + 1 = 0


and 2x – y = – 3 or 2x – y + 3 = 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 = 3, b1 = – 5 and c1 = 1


and a2 = 2, b2 = – 1 and c2 = 3




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, – 1)


Hence, the unique solution is x = – 2 and y = – 1.


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