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…

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

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

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

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

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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…

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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…

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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…

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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…

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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…

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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…

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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…

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

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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…

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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…

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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…

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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…

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

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

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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…

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

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

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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.…

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

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