Read and download free pdf of CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set A. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 3 Linear Equations Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

## Chapter 3 Linear Equations Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

### Class 10 Mathematics Chapter 3 Linear Equations Worksheet Pdf

### Case Study Based Questions

**I.** Rupesh purchased 3 chairs and one table for ₹1600 and his friend purchased 5 chairs and 2 tables for ₹2900. If in both the cases the price of chairs and tables are the same, Rupesh wants to know some answers of his question what are in his mind. Help him to solve his problems.

**Question. Using the cost price of one chair as ‘x’ and the cost price of one table as ‘y’, the linear pair of equations of the above statement are as follows**

(a) 3x + y = 1600, 5x + 2y = 2900

(b) 3x – y = 1600, 5x – 2y = 2900

(c) 3x + y = 1600, 5x – 2y = 2900

(d) 3x – y = 1600, 5x + 2y = 2900**Answer : A**

**Question. The linear pair of equations formed above by the given information are**

(a) Consistent

(b) Inconsistent

(c) Dependent

(d) Both (a) and (c)**Answer : D**

**Question. If lines are drawn for the linear pair of equations formed by the above information, they will**

(a) intersect at one point

(b) be parallel to each other

(c) be coincident

(d) not exist**Answer : A**

**Question. The solutions of the linear pair of equations formed by the above information are**

(a) ₹300, ₹700

(b) ₹500, ₹600

(c) ₹450, ₹700

(d) ₹200, ₹1100**Answer : A**

**Question. If Rupesh had purchased 2 chairs and 2 tables the sum of total cost will be**

(a) ₹2200

(b) ₹1800

(c) ₹2000

(d) ₹2400**Answer : C**

**II.** Travelling by a car on a highway gives lots of fun and thrills. People drive and enjoy the moment of thrills.

On morning two friends who are living at a distance of 150 km apart decided to meet at another place. So, they drive their cars from point A and point B at the same time and meet after 15 hours on a highway.

In an another incident they decide to meet in a hurry. So, they drive their cars in opposite directions and meet in one hour.

**Question. Using the speed of car at A, x km/h and the speed of car at B, y km/h, the pair of linear equations representing the situation is**

(a) 15x + 15y = 150, x + y = 150

(b) 15x – 15y = 150, x + y = 150

(c) 15x – 15y = 150, x – y = 150

(d) 15x + 15y = 150, x – y = 150**Answer : B**

**Question. On comparing the coefficients of the pair of linear equations formed by the above situations, following conditions can arise:**

(a) a_{1}/a_{2} ≠ b_{1}/b_{2}

(b) a_{1}/a_{2} = b_{1}/b_{2} ≠ c_{1}/c_{2}

(c) a_{1}/a_{2} = b_{1}/b_{2} = c_{1}/c_{2}

(d) None of the above**Answer : A**

**Question. The lines drawn on the graph paper for the pair of linear equations formed due to above situations can have one of following possibilities.**

(a) The two lines intersect at one point

(b) The two lines do not intersect

(c) The two lines coincide

(d) Can not be said anything**Answer : C**

**Question. The solutions of the pair of linear equations formed by above situation is**

(a) a unique solution

(b) no solution

(c) infinitely many solution

(d) not to be determined**Answer : A**

**Question. The speeds of car at A and car at B are**

(a) 70 km/h, 80 km/h

(b) 90 km/h, 60 km/h

(c) 80 km/h, 70 km/h

(d) 60 km/h, 90 km/h**Answer : C**

**Linear Equation In Two Variables**

**Q.- Solve the following equations.**

**156x + 112y = 580; 112x + 156y = 492**

**Sol.**The given system of equation is

**Q.-**

**Solve the following system of equations.**

**43x + 35y = 207; 35x + 43y = 183**

**Sol.**The given system of equations is ;

**PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (Part 2)**

**Please click on below link to download CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set A**

CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |

CBSE Class 10 Maths Probabilty Worksheet |

## More Study Material

### CBSE Class 10 Mathematics Chapter 3 Linear Equations Worksheet

The above practice worksheet for Chapter 3 Linear Equations has been designed as per the current syllabus for Class 10 Mathematics released by CBSE. Students studying in Class 10 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 10 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 10 Mathematics students to get all the latest study material free of cost.

### Worksheet for Mathematics CBSE Class 10 Chapter 3 Linear Equations

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**Chapter 3 Linear Equations worksheet Mathematics CBSE Class 10**

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**Chapter 3 Linear Equations CBSE Class 10 Mathematics Worksheet**

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**Worksheet for CBSE Mathematics Class 10 Chapter 3 Linear Equations**

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