Looking for accurate SEBA Class 10 Maths Chapter 3 Exercise 3.2 solutions for the 2026–27 academic year? Access step-by-step solutions, algebraic equations, graph-plotting steps, and value determination methods designed to help you score top marks in your annual exams.
EXERCISE 3.2
1. Solve the following pair of linear equations by the substitution method.
(i) x + y = 14
x – y = 4
(ii) s – t = 3
s/3 + t/2 = 6
(iii) 3x – y = 3
9x – 3y = 9
(iv) 0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
(v) √2x + √3y = 0
√3x – √8y = 0
SEBA Class 10 Maths Chapter 3.2 Solutions
(vi) 3x/2 – 5y/3 = -2
x/3 + y/2 = 13/6
Class 10 Maths Chapter 3 Exercise 3.2 Question Answer SEBA 2026-27
2. Solve 2x + 3y = 11 and 2x – 4y = -24 and hence find the value of ‘m’ for which y = mx + 3.
Linear Equations in Two Variables Class 10 SEBA Ex 3.2 Solutions
3. Form the pair of linear equations for the following problems and find their solution by substitution method.
(i) The difference between two numbers is 26 and one number is three times the other. Find them.
(ii) The larger of two supplementary angles exceeds the smaller by 18°. Find them.
(iii) The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.
(iv) The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
(v) A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6. Find the fraction.
SEBA Class 10 Maths Chapter 3 Ex 3.2 Notes
(vi) Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob’s age was seven times that of his son. What are their present ages?
4. If x + 3 is a factor of x³ + ax² – bx + 6 and a + b = 7, find the values of a and b.
5. Consider the following pair of linear equation of two variables, then choose the correct option from the given alternatives.
2x = y and -5x + 2y – 3 = 0
(i) The graphs of the equations intersect at a point.
(ii) The graphs of the equations are parallel to each other.
(iii) The graphs of the equations coincide.
(iv) The equations have a unique solution.
(a) Both (i) and (ii) are true
(b) Both (i) and (iii) are true
(c) Both (ii) and (iii) are true
(d) Both (i) and (iv) are true
6. Match the items of column I with column II and then choose the correct option.
Column I | Column II
A. x – y = 0 | (i) unique solution
B. 2x – 3y = 5 and x – y = 1 | (ii) linear equation in two variables
C. x + 2y = 6 and 4x + 8y = 24 | (iii) No solution
D. 2x + 3y = 6 and 4x + 6y = 10 | (iv) Infinitely many solutions and lines coincide
(a) A → (ii), B → (i), C → (iv), D → (iii)
(b) A → (ii), B → (iv), C → (i), D → (iii)
(c) A → (iv), B → (i), C → (ii), D → (iii)
(d) A → (iv), B → (ii), C → (i), D → (iii)
Class 10 Maths Chapter 3 Exercise 3.2 Answers
7. The value of x for which the pair (x, 4) satisfies the equation 3x + y = 19 is:
(a) 6
(b) 5
(c) 3
(d) 4
Class 10 Maths Chapter 3 Exercise 3.2 Answers
8. Two equations are given as 2x + 4y = 10 and Kx + 8y = 20. For which value of K will the system has infinitely many solutions?
(a) 4
(b) 3
(c) 2
(d) 1
📐 Updated Exercise 3.2 Solutions Notice: This page features complete, step-by-step SEBA Class 10 Maths Chapter 3 Exercise 3.2 Solutions updated for the 2026–27 academic session. All step-by-step equation solutions, algebraic methods, and variable determinations strictly follow the latest revised Assam Board (SEBA) textbook.
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