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Question
Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).
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Solution
x + y = 0
y = - x;
The table of x + y = 0 is
| X | 5 | 2 | - 5 |
| Y | - 5 | - 2 | 5 |
3x - 2y = 10
⇒ x = `(10 + 2y)/(3)`
The table of 3x - 2y = 10 is
| X | 4 | 6 | 2 |
| Y | 1 | 4 | - 2 |
Now plotting the points on a graph and we get the following required graph:
The two lines intersect at (2, - 2)
∴ x = 2 and y = - 2
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