Q9 of 186 Page 3

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

2x — 6y + 10 = 0


3x — 9y + 15 = 0

The given pair of linear equations is


2x – 6y + 10 = 0


and 3x – 9y + 15 = 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 = – 6 and c1 = 10


and a2 = 3, b2 = – 9 and c2 = 15




The lines representing the given pair of linear equations will coincide.


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