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NCERT Solutions for Class 9 Maths Exercise 4.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

**NCERT solutions for Class 9 Maths ****Linear Equations in Two Variables ****Download as PDF**

## NCERT Solutions for Class 9 Mathematics Linear Equations in Two Variables

**1. Which one of the following options is true, and why?**

**has**

**(i) a unique solution, **

**(ii) only two solutions, **

**(iii) infinitely many solutions**

**Ans. **We need to the number of solutions of the linear equation.

We know that any linear equation has infinitely many solutions.

###### Justification:

If then

If then

If then =

Similarly, we can find infinite many solutions by putting the values of

NCERT Solutions for Class 9 Maths Exercise 4.2

**2. Write four solutions for each of the following equations:**

**(i) **

**(ii) **

**(iii) **

**Ans. **

We know that any linear equation has infinitely many solutions.

Let us putin the linear equation, to get

Thus, we get first pair of solution as.

Let us putin the linear equation, to get

Thus, we get second pair of solution as.

Let us putin the linear equation, to get

Thus, we get third pair of solution as.

Let us putin the linear equation, to get

Thus, we get fourth pair of solution as.

Therefore, we can conclude that four solutions for the linear equationare.

**(ii) **

We know that any linear equation has infinitely many solutions.

Let us putin the linear equation, to get

Thus, we get first pair of solution as.

Let us putin the linear equation, to get

Thus, we get second pair of solution as.

Let us putin the linear equation, to get

Thus, we get third pair of solution as.

Let us putin the linear equation, to get

Thus, we get fourth pair of solution as.

Therefore, we can conclude that four solutions for the linear equationare.

**(iii) **

We know that any linear equation has infinitely many solutions.

Let us putin the linear equation, to get

Thus, we get first pair of solution as.

Let us putin the linear equation, to get

Thus, we get second pair of solution as.

Let us putin the linear equation, to get

Thus, we get third pair of solution as.

Let us putin the linear equation, to get

Thus, we get fourth pair of solution as.

Therefore, we can conclude that four solutions for the linear equationare.

NCERT Solutions for Class 9 Maths Exercise 4.2

**3. Check which of the following are solutions of the equationand which are not:**

**(i) **

**(ii) **

**(iii) **

**(iv) **

**(v) **

**Ans. (i) **

We need to putin the L.H.S. of linear equation, to get

L.H.S. R.H.S.

Therefore, we can conclude thatis not a solution of the linear equation .

**(ii) **

We need to putin the L.H.S. of linear equation, to get

L.H.S. R.H.S.

Therefore, we can conclude thatis not a solution of the linear equation .

**(iii) **

We need to putin the linear equation, to get

L.H.S. R.H.S.

Therefore, we can conclude thatis a solution of the linear equation .

**(iv) **

We need to putin the linear equation, to get

L.H.S. R.H.S.

Therefore, we can conclude thatis not a solution of the linear equation .

**(v) **

We need to putin the linear equation, to get

L.H.S. R.H.S.

Therefore, we can conclude thatis not a solution of the linear equation .

NCERT Solutions for Class 9 Maths Exercise 4.2

**4. Find the value of ***k*, if *x *= 2, *y *= 1 is a solution of the equation.

*k*, if

*x*= 2,

*y*= 1 is a solution of the equation.

**Ans. **We know that, if is a solution of the linear equation, then on substituting the respective values of *x* and *y* in the linear equation , the LHS and RHS of the given linear equation will not be effected.

Therefore, we can conclude that the value of *k*, for which the linear equationhasas one of its solutions is 7.

## NCERT Solutions for Class 9 Maths Exercise 4.2

NCERT Solutions for Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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