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प्रश्न
Complete the following table to draw the graph of 3x – 2y = 18.
| x | 0 | 4 | 2 | –1 |
| y | –9 | ______ | ______ | ______ |
| (x, y) | (0, −9) | (______, _______) | (______, _______) | ______ |
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उत्तर
Substituting x = 4 in 3x – 2y = 18, we get
3(4) – 2y = 18
∴ 12 – 2y = 18
∴ 2y = 12 – 18
∴ 2y = – 6
∴ y = `(-6)/2`
∴ y = – 3
Substituting x = 2 in 3x – 2y = 18, we get
3(2) – 2y = 18
∴ 6 – 2y = 18
∴ 2y = 6 – 18
∴ 2y = –12
∴ y = `(-12)/2`
∴ y = – 6
Substituting x = –1 in 3x – 2y = 18, we get
3(–1) – 2y = 18
∴ – 3 – 2y = 18
∴ 2y = – 3 – 18
= –21
∴ y = `(-21)/2`
| x | 0 | 4 | 2 | –1 |
| y | – 9 | – 3 | – 6 | `bb((-21)/2)` |
| (x, y) | (0, –9) | (4, − 3) | (2, − 6) | `bb((-1"," (-21)/2))` |
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