Each of 1 marks: 1) State with reason whether the equation 3𝑥2− 7y = 13 is a linear equation with two variables? 2) Show the condition using variable x and y: Two numbers differ by 3 3) For the equation 4x + 5y = 20 find y when x = 0 4) Write any two solutions of the equation x + y = 7. 5) Decide whether (0, 2) is the solution of the equation 5x + 3y = 6 6) Write any two solution of the equation a – b = – 3 7) If x+2y=5 and 2x+y=7 then find the value of x+y 8) If Dx = 24 and x = – 3 then find the value of D. 9) The cost of the book is 5 rupees more than twice the cost of a pen. Show this using linear equation by taking Cost of book(x) and cost of a pen(y)
Each of 3 marks: 1) Solve the given simultaneous equations graphically 𝑥 + 𝑦 = 5 and 𝑦 = 5, 2) Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years, what is the age of Ajay. 3) Solve by Cramer’s rule, 3x – 4y = 10; 4x + 3y = 5 4) Difference between two numbers is 3, the sum of three times the bigger number and two times the smaller number is 19. Then find the numbers. 5) Solve: 4m – 2n = – 4; 4m + 3n =16 6) Solve: 99x + 101y = 499; 101x + 99y = 501 7) The length of the rectangle is 5 more than twice its breadth. The perimeter of a rectangle is 52 cm then find the length of the rectangle. 8) The graph of the equations 2 𝑥 − 𝑦 − 4 = 0 and 𝑥 + 𝑦 + 1 = 0 intersect each other in point P (a, b) then find the coordinates of P? 9) The solution of the equation 𝑎 𝑥 + b y + 5 = 0 and 𝑏 𝑥 − 𝑎 𝑦 − 12 = 0 is (2, -3) Find the values of a and b. 10) A person starts a job with some fixed salary and yearly increment. After 4 years his salary is Rs.15000 and after 10 years it becomes Rs. 18000. Then find his monthly salary and increment
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