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Question
Solve the following equations graphically :
x - 2y = 2
`x/(2) - y` = 1
Solution
x - 2y = 2
`x/(2) - y` = 1
x - 2y = 2 ________(1)
`x/(2) - y` = 1 _________(2)
x - 2y = 2
⇒ x = 2 + 2y
Corresponding values of x and y can be tabulated as :
| x | 2 | 0 | 4 |
| y | 0 | -1 | 1 |
Again, `x/(2) - y` = 1
⇒ y = `x/(2) - 1`
Corresponding values of x and y can be tabulated as :
| x | 0 | 2 | 4 |
| y | -1 | 0 | 1 |
Plotting points (0, -1), (2, 0), (4, 1) and joining them, we get a line l1 which is the graph for both the equation (1) and (2).
Hence, the given system of equations has infinitely many solutions.
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