# NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.5 Pair of Linear Equations in Two Variables

NCERT solutions for class 10 maths chapter 3 exercise 3.5 Pair of Linear equations in Two Variables introduces the cross-multiplication method of solving linear equations. This method is explained in detail using the real-life example of oranges and apples, where the cost is calculated using this concept. NCERT solutions class 10 maths chapter 3 exercise 3.5 consists of 2 questions with many subparts.

If a pair of linear equations given by a_{1} x + b_{1} y + c _{1} = 0 and a_{2 }x + b_{2} y + c _{2} = 0, then the general form of the x and y variables using the cross multiplication method is given as follows:

x /(b_{1}c_{2} - b_{2}c_{1}) = y / (c_{1}a_{2} - c_{2}a_{1}) = 1 /(a_{1}b_{2} - a_{2}b_{1})

Thus, the following steps can be used to solve the problem of cross multiplication.

- Represent the given equations in the standard form.
- Use the above notation or cross multiply the values.
- Find x and y, provided (a
_{1}b_{2}- a_{2}b_{1}) ≠ 0

The Class 10 Maths NCERT Solutions Chapter 3 exercise 3.5 Pairs of linear equations in two variables are given below for quick access :

**ā** Download NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.5

**Exercise 3.5 Class 10 Chapter 3**

### More Exercises in Class 10 Maths Chapter 3

- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.1
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.2
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.3
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.4
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.6
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.7

## NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.5 Tips

NCERT solutions class 10 maths chapter 3 exercise 3.5 Pairs of linear equations in two variables include a set of solved examples of equations reducible to a pair of linear equations in two variables. The students must make sure to practice them on their own to figure out their mistakes.

NCERT solutions for class 10 maths chapter 3 exercise 3.5 discusses the cross-multiplication method, which kids must practice using a cross-multiplication diagram while multiplying both equations. The cross-multiplication diagram can prove to be a confusing step hence, it is essential that kids practice it routinely so that they do not make silly mistakes during an examination.

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