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,

**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 :

**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**

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

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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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