4. Linear Equation In Two Variables Mathematics Exercise - 4.2 class 9 Maths in English - CBSE Study
NCERT Solutions for Class 9 Mathematics are carefully prepared according to the latest CBSE syllabus and NCERT textbooks to help students understand every concept clearly. These solutions cover all important 4. Linear Equation In Two Variables with detailed explanations and step-by-step answers for better exam preparation. Each Exercise 4.2 is explained in simple language so that students can easily grasp the fundamentals and improve their academic performance. The study material is designed to support daily homework, revision practice, and final exam preparation for Class 9 students. With accurate answers, concept clarity, and structured content, these NCERT solutions help learners build confidence and score higher marks in their examinations. Whether you are revising a specific topic or preparing an entire chapter, this resource provides reliable and syllabus-based guidance for complete success in Mathematics.
Class 9 English Medium Mathematics All Chapters:
4. Linear Equation In Two Variables
2. Exercise 4.2
Chapter 4. Linear Equation In Two Variables
Exercise 4.2
1. Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution, (ii) only two solutions,
Solution
(iii) infinitely many solution, because we can put many value of x and can get many solution of y.
2. Write four solutions for each of the following equations:
(i) 2x + y = 7
(ii) πx + y = 9
(iii) x = 4y
Solution
3. Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(i) (0, 2)
(ii) (2, 0)
(iii) (4, 0)
Solution :
x = 4 + 2y
(i) (0,2)
Putting value of x and y
= 0 = 4 + 2(2)
= 0 = 4 + 4 = 0 = 8, hence it is not a solution of eq
(ii) (2,0)
Putting value of x and y
= 2 = 4 + 2(0) = 2 = 4, hence it is also not a solution of eq
(iii) (4,0)
Putting value of x and y
= 4 = 4 + 2(0) = 4 = 4, hence it is a solution of eq
(v) (1,1)
Putting value of x and y
= 1 = 4 + 2(1) = 1= 6, hence, it is not a solution of eq
4. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
Solution :
2x + 3y = k
Putting the value of x and y
2(2) + 3(1) = k = 4+3 = k = k = 7
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