Class 10 Math Chapter 3 Pair of Linear Equations in Two Variables Solutions

Here, Class 10 Math Chapter 3 Pair of Linear Equations in Two Variables Solutions are provided. Subject matter experts have created these solutions to help students in their board exam. They have created solutions in such a way that students can revise the entire solutions in very little time and can score good marks in the board exam. Every solution is provided in detail and in very simple language.

Class 10 Math Chapter 3 Pair of Linear Equations in Two Variables Solutions are very important for board exam. Solving these Pair of Linear Equations in Two Variables solutions will boost the confidence and students can score better in exam. Solutions are provided according to latest NCERT syllabus. Experts created these step-by-step solutions, which will definitely be helpful for students.

Pair of Linear Equations in Two Variables Solutions

Exercise 3.1

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Exercise 3.2

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Exercise 3.3

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Chapter 2: Polynomials Solutions
Chapter 4: Quadratic Equations Solutions

We have given solutions of all exercise of class 10 math chapter 3. These solutions will be helpful for students understanding core concept of Pair of Linear Equations in Two Variables chapters.

To understand the chapter thoroughly, it is essential to practice all the questions provided within it, as well as any additional questions. Solving previous years’ question papers also proves to be very helpful in exam preparation. You can also find other study material resources on our website.

Important Questions for NCERT Chapter 3: Pair of Linear Equations in Two Variables

Question:On comparing the ratios,

a1a2,b1b2 and c1c2\frac{a_1}{a_2}, \frac{b_1}{b_2} \text{ and } \frac{c_1}{c_2}

find out whether the following pair of linear equations are consistent, or inconsistent.

3x+2y=53x + 2y = 5

Answer :

3x+2y=5,2x−3y=73x + 2y = 5, 2x – 3y = 7
a1a2=32,b1b2=−23,c1c2=57\frac{a_1}{a_2} = \frac{3}{2}, \frac{b_1}{b_2} = \frac{-2}{3}, \frac{c_1}{c_2} = \frac{5}{7} \\
a1a2≠b1b2\frac{a_1}{a_2} \neq \frac{b_1}{b_2}

Question: Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically:

x+y=5,2x+2y=10x + y = 5, 2x + 2y = 10

Answer :

x+y=5x + y = 5
2x+2y=102x + 2y = 10 \\
a1a2=12,b1b2=12,c1c2=510=12\frac{a_1}{a_2} = \frac{1}{2}, \frac{b_1}{b_2} = \frac{1}{2}, \frac{c_1}{c_2} = \frac{5}{10} = \frac{1}{2} \\
Since, a1a2=b1b2=c1c2\text{Since, } \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}

Therefore, these linear equations are coincident pair of lines and thus have infinite number of possible solutions. Hence, the pair of linear equations is consistent.

x+y=5,x + y = 5, \\
x=5−yx = 5 – y
xamp;4amp;3amp;2\begin{array}{|c|c|c|c|} \hline x & 4 & 3 & 2 \\ \hline \end{array}

solution. Hence, the pair of linear equations is
consistent.

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