Solve graphically the following system of linear equation, 2x + y = 6, x - 2y = -2. Also find the co-ordinates of the points where the lines meet the A-axis.

We  have,    2x + y = 6



Thus, we have following table ;

Fig. 3.24.

II. We have,
x - 2y = -2
⇒    x = 2y - 2
Thus, we have following table :

When we plot the graph of the given equation, we find that both the lines intersect at the point (2, 2).
From the graph it is clear than the co-ordinates of the points where the lines meet the x-axis are (-2, 0), (3, 0).

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