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Question
Solve, graphically, the following pairs of equation :
3x + 7y = 27
8 - y = `(5)/(2)x`
Solution
3x + 7y = 27
⇒ 3x = 27 - 7y
⇒ x = `(27 - 7y)/(3)`
The table for 3x + 7y = 27 is
| X | 9 | 2 | -5 |
| Y | 0 | 3 | 6 |
Also, we have
8 - y = `(5)/(2)x`
⇒ x = (8 - y) x `(2)/(5)`
The table for 5x + 2y = 16 is
| X | 2 | 4 | 0 |
| Y | 3 | - 2 | 8 |
Plotting the points we get the following required graph:
From the above graph, it is clear that the two lines 3x + 7y = 27 and 8 - y = `(5)/(2)x` intersect at the point (2,3)
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