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Which of one following is NOT a solution of the equation: 5x/2 - 4y + (17/2) = 0?
1. (5,5)
2. (0, 17/8)
3. (3, 4)
4. (1, 11/4)

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Correct Answer - Option 1 : (5,5)

Given

(5x/2) - 4y + (17/2) = 0

Calculation

When points are (5,5)

⇒ (5/2) × 5 - 4 × 5 + (17/2)

⇒ (25/2) - 20 + (17/2)

⇒ (42/2) - 20

⇒ 21 - 20

⇒ 1 ≠ 0

(5,5) is not a solution

When points are (0,17/8)

(5/2) × 0 - 4(17/8) + (17/2) = 0

⇒ - (17/2) + (17/2) = 0

⇒ 0 = 0

(0, 17/8) is a solution

When points are (3,4)

(5/2) × 3 - 4(4) + (17/2) = 0

⇒ 15/2 - 16 + (17/2) = 0

⇒ (15 + 17)/2 - 16 = 0

⇒ 32/2 - 16 = 0

⇒ 16 - 16 = 0

⇒ 0 = 0

(3,4) is a solution

When points are (1, 11/4)

(5/2) × 1 - 4 × (11/4) + 17/2 = 0

⇒ (5/2) - 11 + (17/2) = 0

⇒ (5 + 17)/2 - 11 = 0

⇒ 22/2 - 11 = 0

⇒ 11 - 11 = 0

⇒ 0 = 0

(1, 11/4) is a solution

∴ (5,5) is not a solution

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