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Elimination Methods of Solving Pair of Linear Equations -Substitution Method Exercise 3.3 (Part 4/6)
Class 10 Mathematics Chapter 3 Pair of Linear Equations in two variables PART 4
Topics to be covered Elimination Method of Solving a Pair of Linear Equations Exercise 3.4
Elimination MethodIn elimination method of solving linear equation we eliminate (i.e., remove) one variable. This is sometimes more convenient than the substitution method. EXERCISE 3.4
1. Solve the following pair of linear equations by the elimination method.
(i) x + y = 5 and 2x – 3y = 4 (ii) 3x + 4y = 10 and 2x – 2y = 2 (iii) 3x – 5y – 4 = 0 and 9x = 2y + 7
(iv) x/2+2y/3 = −1 and x-y/3 = 3
2. Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method
(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?
(ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
(iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
(v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs.27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
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https://www.successcds.net/Class10/sst/history/Elimination Methods of Solving a Pair of Linear Equations Substitution Method Exercise Class 10 Mathematics Elimination Methods of Solving a Pair of Linear Equations Substitution Method Exercise 3.3 (Part 3/6) Chapter 3 Pair Of Linear Equations in two variables PART 3 Topics to be covered
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