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Question
Solve graphically the simultaneous equations given below. Take the scale as 2 cm = 1 unit on both the axes.
x - 2y - 4 = 0
2x + y = 3
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Solution
x - 2y - 4 = 0
⇒ x = 2y + 4
The table for x - 2y - 4 = 0 is
| X | 4 | 6 | 2 |
| Y | 0 | 1 | - 1 |
Also we have
2x + y = 3
⇒ 2x = 3 - y
⇒ x = `(3 - y)/(2)`
The table for 2x + y = 3 is
| X | 1 | 0 | 2 |
| Y | 1 | 3 | - 1 |
Plotting the above points we get the following required graph:
From the above graph, it is dear that the two lines x - 2y - 4 = 0 and 2x + y = 3 intersect at the point (2, -1)
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