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Pair of Linear Equations in Two Variables
Previous Year Questions (2022-2024)
Year 2022
- Solve: x2 + 2y3 = -1, x - y3 = 3.
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Multiply first by 6: 3x + 4y = -6\nMultiply second by 3: 3x - y = 9\nSubtract: 5y = -15 => y = -3\n3x - (-3) = 9 => 3x = 6 => x = 2 - A lending library charges Rs 2 for first day and Rs 1 per day thereafter. Saritha paid Rs 42 for a book. For how many days was it kept?
Show Solution
Let days = n.\n2 + 1(n-1) = 42 => n-1 = 40 => n = 41 days
Year 2023
- Solve: x2 + 2y3 = -1, x - y3 = 3.
Show Solution
Multiply first by 6: 3x + 4y = -6\nMultiply second by 3: 3x - y = 9\nSubtract: 5y = -15 => y = -3\n3x - (-3) = 9 => 3x = 6 => x = 2 - A lending library charges Rs 2 for first day and Rs 1 per day thereafter. Saritha paid Rs 42 for a book. For how many days was it kept?
Show Solution
Let days = n.\n2 + 1(n-1) = 42 => n-1 = 40 => n = 41 days
Year 2024
- Solve: x2 + 2y3 = -1, x - y3 = 3.
Show Solution
Multiply first by 6: 3x + 4y = -6\nMultiply second by 3: 3x - y = 9\nSubtract: 5y = -15 => y = -3\n3x - (-3) = 9 => 3x = 6 => x = 2 - A lending library charges Rs 2 for first day and Rs 1 per day thereafter. Saritha paid Rs 42 for a book. For how many days was it kept?
Show Solution
Let days = n.\n2 + 1(n-1) = 42 => n-1 = 40 => n = 41 days