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प्रश्न
Use graph paper for this question. Take 2 cm = 2 units on x-axis and 2 cm = 1 unit on y-axis.
Solve graphically the following equation:
3x + 5y = 12; 3x - 5y + 18 = 0 (Plot only three points per line)
आलेख
बेरीज
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उत्तर
3x + 5y = 12
⇒ 3x = 12 - 5y
x = `(12 - 5y)/(3)`
The table for 3x + 5y = 12 is
| X | 4 | - 1 | - 6 |
| Y | 0 | 3 | 6 |
Also we have
3x - 5y + 18 = 0
⇒ 3x = 5y - 18
⇒ x = `(5y - 18)/(3)`
The table for 3x - 5y + 18 = 0 is
| X | - 6 | 4 | - 1 |
| Y | 0 | 6 | 3 |
Plotting the above points we get the following required graph:
From the above graph, it is clear that the two lines 3x + 5y = 12 and 3x - 5y + 18 = 0 intersect at the point (-1, 3)
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