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Question
Solve graphically
y = 2x + 1, y + 3x – 6 = 0
Solution
y = 2x + 1
| x | – 3 | – 1 | 0 | 2 |
| y | – 5 | – 1 | 1 | 5 |
Plot the points (– 3, – 5), (– 1, – 1), (0, 1) and (2, 5) in the graph sheet
y + 3x – 6 = 0
y = – 3x + 6
| x | – 2 | – 1 | 0 | 2 |
| y | 12 | 9 | 6 | 0 |
Plot the points (– 2, 12), (– 1, 9), (0, 6) and (2, 0) in the same graph sheet
The two lines l1 and l2 intersect at (1, 3).
∴ The solution set is (1, 3).
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