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Question
Solve the following equations graphically :
x+ 2y - 7 = 0
2x - y - 4 = 0
Solution
x+ 2y - 7 = 0........(1)
2x - y - 4 = 0.......(2)
x+ 2y - 7 = 0
⇒ x = 7 - 2y
Corresponding values of x and y can be tabulated as :
| x | 7 | 3 | 1 |
| y | 0 | 2 | 3 |
Plotting points (7, 0), (3, 2), (1, 3) and joining them, we get a line l1 which is the graph of equation (1).
2x - y - 4
⇒ y = 2x - 4
Corresponding values of x and y can be tabulated as :
| x | 0 | 3 | 2 |
| y | -4 | 2 | 0 |
Plotting points (0, -4), (3, 2), (2, 0) and joining them, we get a line l2 which is the graph of equation (2).
The lines l1 and l2 intersect at a unique point (3, 2).
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