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The cost of 2 kg apples and 1 kg of grapes on a day was found to be ₹ 320. The cost of 4 kg apples and 2 kg grapes was found to be ₹ 600. If cost of 1 kg of apples and 1 kg of grapes is ₹ x and ₹ y respectively, represent the given situation algebraically as a system of equations and check whether the system so obtained is consistent or not.
Solve for x and y : √2 x + √3 y = 5 and √3 x − √8 y = −√6
Assertion (A) : The value of p for which the system of equations 4x + py + 8 = 0 and 2x + 2y + 2 = 0 is consistent is 4. Reason (R) : The system of equations a₁x + b₁y = c₁ and a₂x + b₂y = c₂ is consistent with infinitely many solutions, if a₁/a₂ = b₁/b₂ = c₁/c₂.
If a pair of linear equations is consistent, then the lines will be
The pair of equations 5x + 7y = 5 and 2x – 3y = 7 are
Assertion (A): If the pair of equations has the same Solution, then it is called consistent. Reason (R): Consistent system has at least one Solution.
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