The existence of unique solution of the system of equations x + y = λ and 5x + ky = 2 depends on:

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MCQ (Single)Consistent System of Linear Equations

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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.

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Solve for x and y : √2 x + √3 y = 5 and √3 x − √8 y = −√6

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The pair of equations 5x + 7y = 5 and 2x – 3y = 7 are

MCQ (Single)Consistent System of Linear Equations

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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Find whether the equations are consistent or inconsistent: 5x + 7y = 5, 2x – 3y = 7

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