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प्रश्न
Solve the following equations by graphical method, x − y = 1, 2x + y = 8
आलेख
उत्तर
The given equations are
x – y = 1
∴ y = x – 1
| x | 0 | 2 | 4 | 5 |
| y | –1 | 1 | 3 | 4 |
| (x, y) | (0, –1) | (2, 1) | (4, 3) | (5, 4) |
2x + y = 8
∴ y = 8 – 2x
| x | 0 | 4 | 1 | 3 |
| y | 8 | 0 | 6 | 2 |
| (x, y) | (0, 8) | (4, 0) | (1, 6) | (3, 2) |
The given lines intersect at (3, 2).
∴ x = 3 and y = 2 is the solution of the equations x – y = 1 and 2x + y = 8.
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