Q. 17

# Solve the following system of linear equations graphically:5x — 6y + 30 = 0; 5x + 4y — 20 = 0Also find the vertices of the triangle formed by the two lines and x – axis.

The given equation is

5x – 6y = – 30

and 5x + 4y = 20

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 (0,5).

The coordinates of the vertices of ∆ACD are A( – 6,0), C(0,5)and D(4,0)

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