Q10 of 186 Page 3

Solve the following system of linear equations graphically:

3x — 5y = 19, 3y — 7x + 1 = 0


Does the point (4, 9) lie on any of the lines? Write its equation.

The given equation is 3x – 5y = 19

and 3y – 7x + 1 = 0 or 7x – 3y = 1


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


Table for



Now, table for




From the graph, it is clear that lines represented by the equations 3x – 5y = 19 and 7x – 3y – 1 = 0 are intersecting at a point C i.e. ( – 2, – 5).


Yes, point (4,9) lie on 3y – 7x + 1 = 0.


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