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Question
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
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Solution
2x - 6y + 10 = 0
3x - 9y + 25 = 0
2x - 6y + 10 = 0 _________(1)
3x - 9y + 25 = 0 _________(2)
2x - 6y + 10 = 0
⇒ x = `(6y - 10)/(2)`
= 3y - 5
Corresponding values of x and y can be tabulated as :
| x | -5 | -2 | 1 |
| y | 0 | 1 | 2 |
Plotting points (-5, 0),(-2, 1), (1, 2) and joining them, we get a line l1 which is the graph of the equation (1).
Again, 3x - 9y + 25 = 0
⇒ x = `(9y - 25)/(3)`
Corresponding values of x and y can be tabulated as :
| x | 0 | `(-25)/(3)` = 8.33 |
| y | `(25)/(9)` =2.77 | 0 |
Plotting points `(0, 25/9), ((-25)/3, 0)` and joining them, we get a line l2 which is the graph of the equation (2).
The line l1 and l2 do not intersect each other.
Thus, the given equations do not have any solution.
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