## Pair of Linear Equations

### Important Questions

Q) Solve the following pair of linear equations: Ans: Given the equations: ……….. (i) ………….(ii) Step 1: Let’s multiply equation (i) by b2 and add…

Q) Solve the following pair of linear equations: (a – b) x + (a + b) y = a2 – 2 a b – b2…

Q) Solve the following pair of linear equations: 152x – 378y = – 74– 378 x + 152y = – 604 Ans: Given the equations:…

Q) Solve the following pair of linear equations: ax + by = c bx + ay = 1 + c Ans: Given the equations: a x + b…

Q) Solve the following pair of linear equations:px + qy = p – qqx – py = p + q Ans: Given the equations: Solve…

Q) Find two consecutive odd positive integers, the sum of whose squares is by using the quadratic formula. Ans: Let’s consider the 1st odd positive…

Q) The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his present…

Q) ABCD is a rectangle if the value of AB= 12 is given, find the values of x and y. Ans: We know, opposite sides…

Q) Mrs. Gupta arranged some snacks for her child’s birthday party. After the guest left she had some food left over. She did not want to…

Q) A number consists of two digits. Where the number is divided by the sum of its digits, the quotient is 7. If 27 is subtracted…

Q) The sum of ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was…

Q) A fraction becomes when 1 is subtracted from the numerator. It becomes when 8 is added to the denominator. Find the fraction. Ans: Let’s…

Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 7 is consistent or not. Ans: Draw…

Q) Two pipes together can fill a tank in hours. The pipe with larger diameter takes 2 hours less than the pipe with smaller diameter…

Q) A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average…

Q) Two people are 16 km apart on a straight road. They start walking at the same time. If they walk towards each other with different…

Q) Two schools ‘P’ and ‘Q’ decided to award prizes to their students for two games of Hockey Rs. x per student and Cricket Rs. y…

Q) If 217x + 131y = 913 and 131x + 217y = 827, then solve the equations for the values of x and y. Ans: 217…

Q) If the system of linear equations 2x+3y= 7 and 2ax + (a + b) y = 28 have infinite number of solutions, then find…

Q)Jaya scored 40 marks in a test getting 3 marks for each correct answer and losing 1 mark for each incorrect answer., Had 4 marks…

Q)Solve the pair of equations x = 5 and y = 7 graphically. Ans: Plot both the equations on the graph. Increase till intersection point…

Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 3 is consistent or not. Ans: Draw…

Q) Half of the difference between two numbers is 2. The sum of the greater and twice the smaller number is 13. Find the numbers.…

Q) Solve the pair of equations x = 3 and y = – 4 graphically. Ans: Lets plot both the equations on the graph. Increase…