Q9 of 186 Page 3

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

2x — 3y + 13 = 0


3x — 2y + 12 = 0

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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Examine which of the following points lie on the graph of the linear equation 5x — 3y + 30 = 0.

(i) A (— 6, 0) (ii) B (0, 10)


(iii) C (3, — 5) (iv) D (4, 2)


(v) E (— 9, 5) (vi) F (— 3, 5)


(vii) G (— 9, — 5)

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

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

3x + 2y = 14


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

2x — 3y = 1


3x — 4y = 1