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प्रश्न
Solve the following pair of simultaneous equations graphically.
x − 2y + 3 = 0
2x + y = 14
आलेख
बेरीज
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उत्तर
Given
x − 2y + 3 = 0
2x + y = 14
Step 1: Convert to standard form y = mx + c
x − 2y + 3 = 0 ...[Equation (i)]
x + 3 = 2y
y = `(x + 3)/2`
2x + y = 14
y = −2x + 14
Step 2: Banaate hain Table of Values
y = `(x + 3)/2`
| x | y = `bb(x + 3)/2` | Point |
| −3 | 0 | (−3,0) |
| −1 | 1 | (−1, 1) |
| 1 | 2 | (1, 2) |
| 3 | 3 | (3, 3) |
y = −2x + 14
| y | y = −2x + 14 | Point |
| 0 | 14 | (0, 14) |
| 1 | 12 | (1, 12) |
| 3 | 8 | (3, 8) |
| 5 | 4 | (5, 4) |
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