Q11 of 186 Page 3

Solve the following system of linear equations graphically: 2x — 3y = 1, 3x — 4y = 1 Does the point (3, 2) lie on any of the lines? Write its equation.

The given equation is

2x – 3y = 1


and 3x – 4y = 1


Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.


Table for or



Now, table for or




Here, the lines intersecting at point F i.e. ( – 1, – 1)


Yes, point (3,2) lie on the line 3x – 4y = 1


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