**RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4: **This exercise focuses on using determinants to solve a system of linear equations. It mostly comprises of a group of examples preceding the exercise problems to help students solve questions efficiently. It enhances students’ problem-solving abilities, which are essential for board exam success. Students can use the provided links to download exercise-wise **RD Sharma Class 12 Solutions** in PDF format to solve questions from the RD Sharma textbook. Here you will find **RD Sharma Solutions for Class 12 Maths Chapter 6** Exercise 6.4.

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## Download RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF

RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4

### Access answers to Maths RD Sharma Solutions For Chapter 6 – Determinants Ex 6.4 Class 12 Important Questions With Solution

**Solve the following system of linear equations by Cramer’s rule:**

**1. x – 2y = 4**

**-3x + 5y = -7**

**Solution:**

Given x – 2y = 4

-3x + 5y = -7

Let there be a system of n simultaneous linear equations and with n unknown given by

Solving determinant, expanding along 1^{st} row

⇒ D = 5(1) – (– 3) (– 2)

⇒ D = 5 – 6

⇒ D = – 1

Again,

Solving determinant, expanding along 1^{st} row

⇒ D_{1} = 5(4) – (– 7) (– 2)

⇒ D_{1} = 20 – 14

⇒ D_{1} = 6

And

Solving determinant, expanding along 1^{st} row

⇒ D_{2} = 1(– 7) – (– 3) (4)

⇒ D_{2} = – 7 + 12

⇒ D_{2} = 5

Thus by Cramer’s Rule, we have

**2. 2x – y = 1**

**7x – 2y = -7**

**Solution:**

**Chapter 6 Determinants Ex 6.4 Q3****Chapter 6 Determinants Ex 6.4 Q4****Chapter 6 Determinants Ex 6.4 Q5****Chapter 6 Determinants Ex 6.4 Q6****Chapter 6 Determinants Ex 6.4 Q7****Chapter 6 Determinants Ex 6.4 Q8****Chapter 6 Determinants Ex 6.4 Q9****Chapter 6 Determinants Ex 6.4 Q10**

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## FAQs on RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4

### What are the advantages of using RD Sharma Solutions for Chapter 6 Exercise 6.4 of Class 12 Maths?

Referring to RD Sharma Solutions for Class 12 Maths Chapter 6 Exercise 6.4 will provide students a good understanding of the type of questions that might be asked in the Class 12 board exam from the chapter.

### Where can I get RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF?

You can get RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4 Free PDF from the above article.

### How many questions are there in RD Sharma Solutions Class 12 Maths Chapter 6 Exercise 6.4?

There are a total of 10 questions in RD Sharma Solutions for Class 12 Maths Chapter 6 Exercise 6.4.