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 a₁ x + b₁ y + c ₁ = 0 and a₂ x + b₂ y + c ₂ = 0, then the general form of the x and y variables using the cross multiplication method is given as follows:

x /(b₁c₂ - b₂c₁) = y / (c₁a₂ - c₂a₁) = 1 /(a₁b₂ - a₂b₁)

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

1. Represent the given equations in the standard form.
2. Use the above notation or cross multiply the values.
3. Find x and y, provided (a₁b₂ - a₂b₁) ≠ 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 :

☛ Download NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.5

Exercise 3.5 Class 10 Chapter 3 Download PDF

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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NCERT Class 10 Maths Video Solutions Chapter 3 Exercise 3.5