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3. Pair of Linear Equations in Two Variables Class 10 MATHEMATICS Solutions English Medium-Exercise 3.2
3. Pair of Linear Equations in Two Variables Class 10 MATHEMATICS Solutions English Medium-Exercise 3.2 Get chapter-wise detailed explanations, step-by-step answers, important questions and exam-ready study material in Hindi and English medium.
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3. Pair of Linear Equations in Two Variables Class 10 MATHEMATICS Solutions English Medium-Exercise 3.2
NCERT Solutions for Class 10 are specially prepared according to the latest CBSE syllabus (2026-27) to help students understand every concept clearly. These solutions provide step-by-step explanations, accurate answers, and exam-oriented guidance for all chapters. Class 10 students can improve their problem-solving skills, strengthen conceptual understanding, and prepare confidently for school as well as board examinations. All questions are solved in a simple and easy-to-understand language for both Hindi and English medium learners.
3. Pair of Linear Equations in Two Variables Class 10 MATHEMATICS Solutions English Medium-Exercise 3.2
NCERT Solutions Class 10 MATHEMATICS English Medium
3. Pair of Linear Equations in Two Variables
Topic: Exercise 3.2
Exercise 3.2
Q1. Form the pair of linear equations in the following problems, and find their solutions graphically.
(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Solution:
Let the numbers of girls be x.
And the number of girls is y.
According to question
The total numbers of boys and girls is 10.
∴ x + y = 10 ……………….. (i)
There are 4 more girls than boys.
∴ x – y = 4 ……………….. (ii)
Table for equation (i)
Graph for these tables will be as follow -
(ii) 5 pencils and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and that of one pen.
Solution:
Q5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Solution: Let the length of rectangular garden be x m.
And breadth = y m
Semi-perimeter = 36 m
Q6. Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) Intersecting lines
(ii) parallel lines
(iii) Coincident lines
Q7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
All Topics From 3. Pair of Linear Equations in Two Variables
See other sub-topics of this chapter:
1. Exercise 3.1 2. Exercise 3.2 3. Exercise 3.3 4. Exercise 3.4 5. Exercise 3.5 6. Exercise 3.6 7. Exercise 3.7NCERT Solutions Class 10 Hindi and English Medium – Complete Study Material
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