CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C

Read and download free pdf of CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C. 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

1. Solution of the simultaneous linear equations: 2x/y – y/2 = - 1/6 and x/2 + 2y/3 = 3 is
(a) x = 2, y = – 3
(b) x = – 2, y = 3
(c) x = 2, y = 3
(d) x = – 2, y = – 3
Answer : C

2. The value of x satisfying both the equations 4x – 5 = y and 2x – y = 3, when y = –1 is
(a) 1
(b) –1
(c) 2
(d) –2
Answer : A

3. Which of the following is not a solution of the pair of equations 3x – 2y = 4 and 6x – 4y = 8?
(a) x = 2, y = 1
(b) x = 4, y = 4
(c) x = 6, y = 7
(d) x = 5, y = 3
Answer : D

Answer the questions (Q 4 to Q 9) using best suitable algebric method.

4. If 2x + 5y – 1 = 0, 2x + 3y – 3 = 0, then
(a) x = 1, y = – 3
(b) x = 3, y = –1
(c) x = 2, y = 5
(d) x = 5, y = – 3
Answer : B

5. If x + 2y – 3 = 0, 3x – 2y + 7 = 0, then
(a) x = –1, y = 2
(b) x = 1, y = 2
(c) x = 2, y = 3
(d) x = – 2, y = – 3
Answer : A

6. If 2x = 5y + 4, 3x – 2y + 16 = 0, then
(a) x = 2, y = –2
(b) x = 3, y = –3
(c) x = 4, y = 5
(d) x = – 8, y = – 4
Answer : D

7. If 4/x + 3y = 8, 6/x - 4y = - 5, then
(a) x = 2, y = 2
(b) x = 1, y = –1
(c) x = 2, y = –2
(d) x = 3, y = – 3
Answer : A

8. If 2x + 3y = 11 and 2x – 4y = –24, then the value of ‘m’ for which y = mx + 3 is
(a) 0
(b) 1
(c) –1
(d) – 2
Answer : C

9. If 2x + 3y = 11 and x – 2y = –12, then the value of ‘m’ for which y = mx + 3 is
(a) 1
(b) –1
(c) 2
(d) – 2
Answer : B

Answer the questions (Q 10 & Q 11) by elimination method.

10. If 7(y + 3) – 2(x + 2) = 14, 4(y – 2) + 3(x – 3) = 2, then
(a) x = 1, y = 4
(b) x = 3, y = 5
(c) x = 5, y = 1
(d) None of these
Answer : C

11. If 4/x + 5y = 7, 3/x + 4y = 5, then
(a) x = 1/3, y = –1
(b) x = 8, y = 3
(c) x = 4, y = 7
(d) x = 5, y = 9
Answer : A

Answer the following by the method of substitution.

12. If 3 – (x – 5) = y + 2, 2(x + y) = 4 – 3y, then
(a) x = 13/4, y = 9/10
(b) x = 7/16, y = 5/8
(c) x = 4/9, y = 9/12
(d) x = 26/3, y = −8/3
Answer : D

 

WORKSHEET ON PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
 
Q.- Meena went to a bank to withdraw j 2000. She asked the cashier to give j 50 and j 100 notes only. Meena got 25 notes in all. Find how many notes of j 50 and j 100 she received ?
 
Sol. Let the number of notes of j 50 be x,
and the number of notes of j 100 be y,
Then according to the question,
x + y = 25 ....(1)
50x + 100y = 2000 ....(2)
Multiplying (1) by 50, we get
50x + 50y = 1250 ....(3)
Subtracting (3) from (2), we have
50y = 750
=> y = 15
Putting y = 15 in (1), we get
x + 15 = 25
=> x = 25 – 15 = 10
Hence, the number of notes of j 50 was 10 and that of j 100 was 15.
 
 
Q.-  Yash scored 40 marks in a test, receiving 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test ?
 
Sol. Let the number of correct answers of Yash be x and number of wrong answers be y. Then according to question :
Case I. He gets 40 marks if 3 marks are given  for correct answer and 1 mark is deducted for incorrect answers.
3x – y = 40           ....(1)
Case II. He gets 50 marks if 4 marks are given for correct answer and 2 marks are deducted for incorrect answers.
4x – 2y = 50         ....(2)
Multiplying (1) by 2, we get
6x – 2y = 80         ....(3)
Subtracting (2) from (3), we get
2x = 30 => x =30/2
= 15
Putting x = 15 in (1); we get
3 × 15 – y = 40
=> 45 – y = 40
=> y = 5
Total number of questions = number of correct answers + number of incorrect answers.
= 15 + 5 = 20
 
SECTION A: 
 
1. Find the value of a so that the point (3, a) lies on the line represented by 2x – 3y = 5.
 
→1/3
 
2. Find the number of solutions of the pair of linear equations x + 2y – 8 = 0 and 2x + 4y = 16.
 
Infinitely many solns.
 
3. Find the value(s) of k for which the system of equations 4x – 2y = 3; 3x + ky = 1 has unique solution.
 
Any real nos. except -3/2
 
SECTION B: 
 
4. Determine the value of m and n so that the following pair of linear equations have infinite number of solutions (2m – 1)x + 3y = 5; 3x + (n – 1 )y = 2
 
m=17/4,n=11/5
 
5. Find the value of k for which the pair of linear equations (2k – 1 )x + (k – 1)y =2k + 1 and 3x + y = 1 has no solution.
 
2
 
6. Solve for x and y using cross multiplication method: 2x + 3y = 3 ; 2x + 5y = 1 .
 
X=3,y= -1
 
7. Solve for x and y: 148x + 231y = 527; 231x + 148y = 610.
 
X=2,y=1
 
SECTION C: 
 
8. Solve the pair of linear equations graphically: 4x – y – 8 = 0 and 2x – 3y + 6 = 0. Also, determine the vertices of the triangle formed by these lines and x-axis.
 
(3, 4), (- 3,0), (2,0)
 
9. A two digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the number, the digits are reversed. Find the number.
 
64
 
10. Solve the following system of equations by reducing them to a pair if linear equations:
 
(4, 5)
 
11. A man walks a certain distance with certain speed. If he walks ½ km/h faster, he takes 1 hour less. But if he walks 1 km/hr slower, he takes 3 hours more. Find the distance covered by the man and his original speed.
 
36km, 4km/hr
 
 
Please click on below link to download CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set C

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

Teachers of studiestoday have referred to the NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 worksheet. If you download the practice worksheet for the above chapter daily, you will get better scores in Class 10 exams this year as you will have stronger concepts. Daily questions practice of Mathematics printable worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision Worksheets for Class 10 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers

Chapter 3 Linear Equations worksheet Mathematics CBSE Class 10

All practice paper sheet given above for Class 10 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 10 can be assured that the answers have been also provided by our teachers for all test paper of Mathematics so that you are able to solve the problems and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 10 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 10 Mathematics students have been given on studiestoday.

Chapter 3 Linear Equations CBSE Class 10 Mathematics Worksheet

Regular printable worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 3 Linear Equations concepts. Practice worksheets play an important role in developing an understanding of Chapter 3 Linear Equations in CBSE Class 10. Students can download and save or print all the printable worksheets, assignments, and practice sheets of the above chapter in Class 10 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.

Worksheet for CBSE Mathematics Class 10 Chapter 3 Linear Equations

CBSE Class 10 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 3 Linear Equations and then take out a print of the above practice sheet and attempt all problems. We have also provided a lot of other Worksheets for Class 10 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE Practice worksheets for Class 10 Mathematics Chapter 3 Linear Equations

You can download the CBSE Practice worksheets for Class 10 Mathematics Chapter 3 Linear Equations for the latest session from StudiesToday.com

Can I download the Practice worksheets of Class 10 Mathematics Chapter 3 Linear Equations in Pdf

Yes, you can click on the links above and download chapter-wise Practice worksheets in PDFs for Class 10 for Mathematics Chapter 3 Linear Equations

Are the Class 10 Mathematics Chapter 3 Linear Equations Practice worksheets available for the latest session

Yes, the Practice worksheets issued for Chapter 3 Linear Equations Class 10 Mathematics have been made available here for the latest academic session

How can I download the Chapter 3 Linear Equations Class 10 Mathematics Practice worksheets

You can easily access the links above and download the Class 10 Practice worksheets Mathematics for Chapter 3 Linear Equations

Is there any charge for the Practice worksheets for Class 10 Mathematics Chapter 3 Linear Equations

There is no charge for the Practice worksheets for Class 10 CBSE Mathematics Chapter 3 Linear Equations you can download everything free

How can I improve my scores by solving questions given in Practice worksheets in Chapter 3 Linear Equations Class 10 Mathematics

Regular revision of practice worksheets given on studiestoday for Class 10 subject Mathematics Chapter 3 Linear Equations can help you to score better marks in exams

Are there any websites that offer free Practice test papers for Class 10 Mathematics Chapter 3 Linear Equations

Yes, studiestoday.com provides all the latest Class 10 Mathematics Chapter 3 Linear Equations test practice sheets with answers based on the latest books for the current academic session

Can test sheet papers for Chapter 3 Linear Equations Class 10 Mathematics be accessed on mobile devices

Yes, studiestoday provides worksheets in Pdf for Chapter 3 Linear Equations Class 10 Mathematics in mobile-friendly format and can be accessed on smartphones and tablets.

Are practice worksheets for Class 10 Mathematics Chapter 3 Linear Equations available in multiple languages

Yes, practice worksheets for Class 10 Mathematics Chapter 3 Linear Equations are available in multiple languages, including English, Hindi