Q. 245.0( 3 Votes )

Solve the following system of equations graphically. Also determine the vertices of the triangle formed by the lines and y – axis.

4x – 5y – 20 = 0, 3x + 5y – 15 = 0

Answer :

The given equation is


4x – 5y = 20


and 3x + 5y = 15


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


Table for



Now, table for




Here, the lines are intersecting at point C (5, 0).


The coordinates of the vertices of ∆ABC are A(0, – 4), B(0, 3)and C(5,0)


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