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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
Solve the following system of equations graphically : x + 3y = 6; 2x – 3y = 12
x and y are complementary angles such that x : y = 1 : 2. Express the given information as a system of linear equations in two variables and hence solve it.
Solve graphically the following pair of linear equations : 2x – y = 2 and 4x – y = 4 Also, write the coordinates of the points where the lines represented by these equations cut the y-axis.
An academy offering cricket coaching bought 10 bats and 5 balls for ₹ 32,500. Later, the academy bought 2 bats and 8 balls for ₹ 10,000. If there is no change in the cost of the bat and of the ball, find the cost of 1 bat and 1 ball.
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