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

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.

""CBSE-Class-10-Mathematics-Pair-of-Linear-Equation-In-Two-Variables-Worksheet-Set-A

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) a1/a2 ≠ b1/b2
(b) a1/a2 = b1/b2 ≠ c1/c2
(c) a1/a2 = b1/b2 = c1/c2
(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
156x + 112y = 580                   ....(1)
112x + 156y = 492                    ....(2)
Adding equation (1) and (2) we get ;
268x + 268y = 1072
=> 268(x + y) = 1072
=> x + y = 4                     ....(3)
Subtracting equation (2) from equation (1),we get
44x – 44y = 88
x – y = 2                           ....(4)
Adding equation (3) with equation (4), we get;
2x = 6 => x = 3
Putting x = 3 in equation (3), we get;
y = 1
Thus, solution of the system of equations is
x = 3, y = 1
 
Q.- Solve the following system of equations.
      43x + 35y = 207; 35x + 43y = 183
 
Sol. The given system of equations is ;
43x + 35y = 207                      ....(1)
35x + 43y = 183                      ....(2)
Adding equation (1) and (2), we get;
78x + 78y = 390
=> 78(x + y) = 390
=> x + y = 5 ....(3)
Subtracting equation (2) from the equation
(1), we get ;
8x – 8y = 24
=> x – y = 3 ....(4)
Adding equation (3) and (4), we get;
2x = 8 => x = 4
Putting x = 4 in equation (3), we get;
4 + y = 5 => y = 1
Hence, the solution of the system of equation
is ; x = 4, y = 1.
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (Part 2)
 
1.
CBSE Class 10 Mathematics Pair of Linear Equation In Two Variables Worksheet Set A
 
2. A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.
 
3. 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.
 
4. In a competitive examination, one mark is awarded for each correct answer while ½ mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
 
5. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
 
6. A number consists of two digits. When the number is divided by the sum of its digits, the quotient is 7. If 27 is subtracted from the number, the digits interchange their places. Find the number.
 
7. Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?

 

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

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