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Solve the following system of linear equations 7x − 2y = 5 and 8x + 7y = 15 and verify your answer.
Solve the following pair of equations algebraically : 101x + 102y = 304 102x + 101y = 305
In a pair of supplementary angles, the greater angle exceeds the smaller by 50°. Express the given situation as a system of linear equations in two variables and hence obtain the measure of each angle.
The system of equations x + 5 = 0 and 2x – 1 = 0, has
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
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