Looking for accurate SEBA Class 9 Maths Exercise 4.1 (Linear Equations in Two Variables) textual solutions for the 2026–27 academic year? Access complete step-by-step solutions covering forming linear equations from word problems, expressing equations in standard form (ax + by + c = 0), and identifying coefficients a, b, and c to score top marks in your annual exams.
EXERCISE 4.1
1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(Take the cost of a notebook to be Rs x and that of a pen to be Rs y).
Answer:
Let the cost of a notebook = Rs x
Let the cost of a pen = Rs y
According to the question,
Cost of a notebook = 2 × Cost of a pen
x = 2y
x – 2y = 0
Answer: x – 2y = 0
Linear Equations in Two Variables Class 9 SEBA Ex 4.1 Solutions
Class 9 Maths Chapter 4 Exercise 4.1 Question Answer SEBA 2026-27
2. Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
(i) 2x + 3y = 9.35̄
(i) 2x + 3y = 9.35̄
Rewriting in the form ax + by + c = 0:
2x + 3y – 9.35̄ = 0
Comparing with ax + by + c = 0:
a = 2
b = 3
c = -9.35̄
(ii) x – y/5 – 10 = 0
x – y/5 – 10 = 0
Rewriting in the form ax + by + c = 0:
1x + (-1/5)y + (-10) = 0
Comparing with ax + by + c = 0:
a = 1
b = -1/5
c = -10
(iii) -2x + 3y = 6
-2x + 3y = 6
Rewriting in the form ax + by + c = 0:
-2x + 3y – 6 = 0
Comparing with ax + by + c = 0:
a = -2
b = 3
c = -6
(iv) x = 3y
x = 3y
Rewriting in the form ax + by + c = 0:
1x – 3y + 0 = 0
Comparing with ax + by + c = 0:
a = 1
b = -3
c = 0
(v) 2x = -5y
2x = -5y
Rewriting in the form ax + by + c = 0:
2x + 5y + 0 = 0
Comparing with ax + by + c = 0:
a = 2
b = 5
c = 0
(vi) 3x + 2 = 0
3x + 2 = 0
Rewriting in the form ax + by + c = 0:
3x + 0y + 2 = 0
Comparing with ax + by + c = 0:
a = 3
b = 0
c = 2
(vii) y – 2 = 0
y – 2 = 0
Rewriting in the form ax + by + c = 0:
0x + 1y – 2 = 0
Comparing with ax + by + c = 0:
a = 0
b = 1
c = -2
(viii) 5 = 2x
5 = 2x
Rewriting in the form ax + by + c = 0:
-2x + 0y + 5 = 0 or 2x + 0y – 5 = 0
Comparing with ax + by + c = 0:
a = -2 (or 2)
b = 0
c = 5 (or -5)
SEBA Class 9 Maths Chapter 4 Exercise 4.1 Textbook Answers
3. A linear equation in two variables x and y is of the form ax + by + c = 0, where
(a) a ≠ 0, b ≠ 0
(b) a ≠ 0, b = 0
(c) a = 0, b ≠ 0
(d) a = 0, c = 0
Answer:
A linear equation in two variables x and y is of the form ax + by + c = 0, where both coefficients a and b cannot be zero simultaneously (a ≠ 0, b ≠ 0).
Correct Option: (a) a ≠ 0, b ≠ 0
Class 9 Maths Exercise 4.1 Standard Form Equations
📐 Updated Solutions Notice: This page features complete, step-by-step SEBA Class 9 Mathematics Chapter 4 (Linear Equations in Two Variables) Exercise 4.1 Textual Solutions updated for the 2026–27 academic session. All algebraic formulations, standard form transformations ($ax + by + c = 0$), and coefficient evaluations strictly follow the latest revised Assam Board (SEBA) curriculum.
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