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Question
Solve the following equations graphically :
x = 4
`(3x)/(3) - y = 5`
Solution
x = 4
`(3x)/(3) - y = 5`
x = 4 ________(1)
`(3x)/(3) - y = 5` _________(2)
The graph of equation (1) will be the line l1 which is at a distance of 4 units from the y-axis. (4, 0)
From (2), x - y = 5
Corresponding values of x and y can be tabulated as :
| x | 4 | 0 | 5 |
| y | - | -5 | 0 |
Plotting points (4, -1), (0, -5), (5, 0) and joining them, we get a line l2 which is the graph of equation (2).
The two lines l1 and 12 intersect at a unique point (4, -1). Thus, x = 4 and y = 1 -1 is the unique solution of the given equations.
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