**NCERT Solution For Class 10, Maths, Pair Of Linear Equations In Two Variables, Exercise 3.4** involves two methods to solve liner equations which are elimination method and substitution method.

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Toggle## Class 10, Maths, Chapter 3, Exercise 3.4, Solutions

**Q.1. Solve the following pair of linear equations by the elimination method and the substitution 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) $\frac{x}{2}+\frac{2y}{3}=-1$ and**** $x-\frac{y}{3}=3$**

**Ans:**

**Q.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 ** ** 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.**

**(iv) Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her ****₹**** 50 and ****₹**** 100 notes only. Meena got 25 notes in all. Find how many notes of ****₹**** 50 and ****₹**** 100 she received.**

**(v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ****₹**** 27 for a book kept for seven days, while Susy paid ****₹**** 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day. **

**Ans:**

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**Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.1****Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.2****Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.3****Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.4****Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.5****Class 10, Maths, Chapter 4, Pair Of Linear Equations In Two Variables, Exercise 3.6**