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प्रश्न
Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1
उत्तर
x + 4y + 9 = 0
3y = 5x - 1
x + 4y + 9 _______(1)
3y = 5x - 1_______(2)
Now, x + 4y = -9
⇒ x = -9 - 4y
Corresponding values of x and y can be tabulated as :
| x | 4 | -1 | -5 |
| y | -3 | -2 | -1 |
Plotting points (4, -3), (-1, -2) and (-5, -1) and joining them, we geta line l1 which is the graph of equation (!).
Again, 3y = 5 x -1
⇒ y = `(5x - 1)/(3)`
Corresponding values of x and y can be tabulated as :
| x | -4 | -1 | 5 |
| y | -7 | -2 | 8 |
Plotting points (-4, -7), (-1, -2), (5, 8) and joining them we get a line l2 which is the graph of equation (2).
The two line l1 and l2 intersect at a unique point (-1, -2). Thus, x = -1 and y = -2 is the unique solution of the given equations.
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