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Home Assignment Class X

1.Solve the following simultaneous equations by using Cramers’s rule: 3x-y =7, x +4y =11

2.Find the value of a, b, c in the following quadratic equation : 2x² ‒ x ‒ 3 = 0

3.If one of the roots of the quadratic equation x² - 11x + k = 0 is 9, then find the value of k

4.If the cost of bananas is increased by Rs. 10 per dozen, one can get 3 dozen less for Rs.600. Find the original cost of one dozen of bananas.

5.Sum of the present ages of Manish and Savita is 31. Manish’s age 3 years ago was 4 times the age of Savita. Find their present ages.

6.Solve the following simultaneous equations.

101x + 99y = 501, 99x + 101y = 499