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Question
Use graph paper for this question. Draw the graph of 2x - y - 1 = 0 and 2x + y = 9 on the same axes. Use 2 cm = 1 unit on both axes and plot only 3 points per line. Write down the coordinates of the point of intersection of the two lines.
Solution
2x - y - 1 = 0
⇒ 2x = y + 1
⇒ x = `(y + 1)/(2)`
This table for 2x - y - 1 = 0 is
| X | 2 | 1 | 0 |
| Y | 3 | 1 | -1 |
Also we have
2x + y = 9
⇒ 2x = 9 - y
⇒ x = `(9 - y)/(2)`
The table for 2x + y = 9 is
| X | 4 | 3 | 5 |
| Y | 1 | 3 | -1 |
Plotting the above points we get the following required graph:
From the above graph, it is clear that the two lines 2x - y - 1 = 0 and 2x + y = 9 intersect at the point (2, 5, 4)
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