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प्रश्न
Solve the following equations graphically :
`2 + (3y)/x = (6)/x`
`(6x)/y - 5 = (4)/y`
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उत्तर
`2 + (3y)/x = (6)/x`
`(6x)/y - 5 = (4)/y`
`2 + (3y)/x = (6)/x` ⇒ 2x + 3y = 6 _________(1)
`(6x)/y - 5 = (4)/y` ⇒ 6x + 5y = 4 _________(2)
2x + 3y = 6
⇒ y = `(6 - 2x)/(3)`
Corresponding values of x and y can be tabulated as :
| x | 3 | -3 | 0 |
| y | 0 | 4 | 2 |
Plotting points (3, 0), (-3, 4), (0, 2) and joining them, we get a line l1 which is the graph of equation (1).
6x - 5y = 4
⇒ y = `(6x - 4)/(5)`
Corresponding values of x and y can be tabulated as :
| x | 1 | 2 | 3 |
| y | 0.4 | 1.6 | 2.8 |
Plotting point (1, 0.4), (2, 1.6), (3, 2.8) and joining them, we get a line l2 which is the graph of equation (2).
The line l1 and l2 intersect at a unique point `(3/2 ,1)`.
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