RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3 (Updated for 2021-22)

RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3

RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3: The main concepts discussed in RD Sharma Class 10 Solutions Exercise 3.3 are method of elimination by substitution and method of elimination by equating the coefficients. For any clarifications on these exercise questions, students can use the RD Sharma Solutions Class 10 Maths Chapter 3 Pair of Linear Equations In Two Variables Exercise 3.3 PDF provided below.

Download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3 Free PDF

 


RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3

Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.3- Important Question with Answers

Solve the following systems of equations:
Question 1.
11x + 15y + 23 = 0
7x – 2y – 20 = 0
Solution:
11x + 15y + 23 = 0 => 11x + 15y = -23 ……..(i)
7x – 2y – 20 = 0 => 7x – 2y = 20 ……….(ii)
Multiply (i) by 2 and (ii) 15, we get
22x + 30y = -46
105x – 30y = 300
Adding we get
127x = 254 => x = 254127 = 2
7 x 2 – 2y = 20 => 14 – 2y = 20
-2y = 20 – 14 = 6
y = -3

Question 2.
3x – 7y + 10 = 0
y – 2x – 3 = 0
Solution:
RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 3.
0.4x + 0.3y = 1.7
0.7x – 0.2y = 0.8
Solution:
Pair Of Linear Equations In Two Variables Class 10 RD Sharma

Question 4.
RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 5.
7(y + 3) – 2(x + 2) = 14
4(y – 2) + 3(x – 3) = 2
Solution:
RD Sharma Class 10 Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 6.
x7+y3=5
x2−y9=6
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 7.
x3+y4=11
5×6−y3=−7
Solution:
Learncbse.In Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 8.
4x + 3y = 8
6x – 4y = -5
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables

Question 9.
x + y2 = 4
x3 + 2y = 5
Solution:
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables

Question 10.
x + 2y = 32
2x + y = 32
Solution:
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables

Question 11.
√2x – √3y = 0
√3x – √8y = 0
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 12.
3x – y+711 + 2 = 10
2y + y+117 = 10
Solution:
RD Sharma Class 10 Book Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables

Question 13.
2x – 3y = 9
3x + 7y = 2, y ≠ 0
Solution:
RD Sharma Maths Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
Hence x = 3, y = -1

Question 14.
0.3x + 0.7y = 0.74
0.3x + 0.5y = 0.5
Solution:
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 15.
RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
10th Maths Solution Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 16.
RD Sharma 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 17.
RD Sharma 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Book For Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables

Question 18.
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 19.
RD Sharma Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 20.
RD Sharma Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables
10th Maths Solution Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 21.
RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Book Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 22.
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables

Question 23.
Learncbse.In Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Pdf Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 24.
RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 25.
Pair Of Linear Equations In Two Variables Class 10 RD Sharma
Solution:
RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 26.
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 27.
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 28.
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 29.
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 30.
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables

Question 31.
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 32.
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 33.
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables

Question 34.
x + y = 5xy
3x + 2y = 13xy
Solution:
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables

Question 35.
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 36.
2 (3u – v) = 5uv
2 (u + 3v) = 5uv
Solution:
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 37.
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 38.
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 39.
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 40.
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 41.
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 42.
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 43.
152x – 378y = -74
– 378x + 152y = -604
Solution:
152x – 378y = -74 ……..(i)
– 378x + 152y = -604 ………(ii)
Adding (i) and (ii), we get
– 226x – 226y = 678
Dividing by -226,
x + y = 3 ……..(iiii)
and subtracting (ii) from (i)
530x – 530y = 530
Dividing by 530,
x – y = 1 ……..(iv)
Adding (iii) and (iv)
2x = 4
x = 2
From (iii), 2 + y = 3
y = 3 – 2 = 1
Hence x = 2, y = 1

Question 44.
99x + 101y = 499
101x + 99y = 501
Solution:
99x + 101 y = 499 ….(i)
101x + 99y = 501 ……(ii)
Adding we get
200x + 200y = 1000
x + y = 5 ……(iii)
(Dividing by 200)
Subtracting we get
-2x + 2y = -2
=> x – y = 1 ….(iv)
(Dividing by -2)
Now adding (iii) and (iv)
2x = 6 => x = 3
and subtracting (iv) from (iii)
2y = 4 => y = 2
Hence x = 3, y = 2

Question 45.
23x – 29y = 98
29x – 23y = 110
Solution:
23x – 29y = 98 ….(i)
29x – 23y = 110 ….(ii)
Adding (i) and (ii) we get
52x – 52y = 208
x – y = 4 ….(iii)
(Dividing by 52)
Subtracting (ii) from (i)
6x + 6y = 12
=> x + y = 2 ….(iv)
(Dividing by 6)
Adding (iii) and (iv)
2x = 6 => x = 3
Subtracting (iv) from (iii)
2y = -2 => y = -1
Hence x = 3, y = -1

Question 46.
x – y + z = 4
x – 2y – 2z = 9
2x + y + 3z = 1
Solution:
x – y + z = 4 ……(i)
x – 2y – 2z = 9 ……(ii)
2x + y + 3z = 1 ……(iii)
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 47.
x – y + z = 4
x + y + z = 2
2x + y – 3z = 0
Solution:
x – y + z = 4 ….(i)
x + y + z = 2 ….(ii)
2x + y – 3z = 0 ….(iii)
From (i)
z = 4 – x + y
Substituting the values of z in (ii) and (iii)
x + y + 4 – x + y = 2
2y = 2 – 4 = -2
y = -1
and 2x + y – 3(4 – x + y) = O
2x + y – 12 + 3x – 3y = 0
5x – 2y = 12
5x – 2(-1) = 12
5x + 2 = 12
5x = 12 – 2 = 10
x = 2
From (i),
2 – (-1) + z = 4
2 + 1 + z = 4
3 + z = 4
z = 4 – 3 = 1
Hence x = 2, y = 1, z = 1

Question 48.
21x + 47y = 110
47x + 21y = 162
Solution:
We have,
21x + 47y = 110 …(i)
47x + 21y = 162 …(ii)
Multiplying equation (i) by 47 and Equation (ii) by 21, we get
987x + 2209y = 5170 …(iii)
987x + 441y = 3402 …(iv)
Subtracting equation (iv) from equation (iii),
we get
1768y = 1768
y = 1
Substituting value of y in equation (i), we get
21x + 47 = 110
or 21x = 63
or x = 3
So, x = 3, y = 1

Question 49.
If x + 1 is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a – 3b = 4
Solution:
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 50.
rd-sharma-class-10-solutions-chapter-3-pair-of-linear-equations-in-two-variables-ex-3-3-50
Solution:
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables

Question 51.
Find the values of x and y in the following rectangle
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Hence, the required values of x and y are 1 and 4, respectively.

Question 52.
Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find?
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Plotting the points A (2, 0) and B (0, 2), we get the straight line AB. Plotting the points C (0, -1) and D (12 , 0) we get the straight line CD. The lines AB and CD intersect at E (1, 1).
Hence, infinite lines can pass through the intersection point of linear equations x + y = 2 and 2x – y = 1
¡.e.,E(1, 1) like as y = x, 2x + y = 3, x + 2y = 3, so on.
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 53.
Write a pair of linear equations which has the unique solution x = -1, y = 3. How many such pairs can you write?
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

We have provided complete details of RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

FAQs on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3

Where can I download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3 free PDF?

You can download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3 free PDF from the above article.

Is it required to practice all of the questions in RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3?

Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 3 Exercise 3.3 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.

What are the benefits of using RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3?

1. Correct answers according to the last CBSE guidelines and syllabus.
2. The RD Sharma Class 10 Solutions Chapter 3 Exercise 3.3 is written in simple language to assist students in their board examination, & competitive examination preparation.

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