Question

Check whether the given system of equations is consistent or not. If consistent, solve graphically. x − 2y = 0 2x + y = 0

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

The value of 'p' for which the equations px + 3y = p – 3, 12x + py = p has infinitely many solutions is :