Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 9 Mathematics 4. Linear Equation In Two Variables to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 9 Mathematics 4. Linear Equation In Two Variables to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 4.1. Whether you are studying for board exams or mid-term exams, 9 Mathematics Chapter 4. Linear Equation In Two Variables solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsChapter 4. Linear Equation In Two Variables
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 'x' and that of a pen to be 'y' )
Solution:
Let the cost of pen = y
Let the cost of notebook= x
Then, According To Question,
x = 2y
⇒ x - 2y = 0
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 = 9.35
Solution:
(i) 2x + 3y = 9.35
Expressing the equation in the form of ax + by + c = 0,
∴ 2x+3y-9.35= 0
On Comparing, We have
Then, a= 2, b= 3, c= -9.3
(ii) x – 5y – 10 = 0
Solution:
(ii) x – 5y – 10 = 0
Expressing the equation in the form of ax + by + c = 0,
∴ x- 5y - 10 = 0
On Comparing, We have
Then, a= 1, b= -5, c= -10
(iii) –2x + 3y = 6
Solution:
(iii) –2x + 3y = 6
Expressing the equation in the form of ax + by + c = 0,
∴ -2x + 3y - 6= 0
On Comparing, We have
Then, a= -2, b= 3, c= -6
(iv) x = 3y
Solution:
(iv) x = 3y
Expressing the equation in the form of ax + by + c = 0,
∴ x - 3y= 0
On Comparing, We have
Then, a= 1, b= -3, c= 0
(v) 2x = –5y
Solution:
(v) 2x = –5y
Expressing the equation in the form of ax + by + c = 0,
∴ 2x + 5y= 0
On Comparing, We have
Then, a= 2, b= 5, c= 0
(vi) 3x + 2 = 0
Solution:
(vi) 3x + 2 = 0
Expressing the equation in the form of ax + by + c = 0,
∴ 3x + 2= 0
On Comparing, We have
Then, a= 3, b= 0, c= 2
(vii) y – 2 = 0
Solution:
(vii) y – 2 = 0
Expressing the equation in the form of ax + by + c = 0,
∴ y-2= 0
On Comparing, We have
Then, a= 0, b= 1, c= -2
(viii) 5 = 2x
Solution:
(viii) 5 = 2x
Expressing the equation in the form of ax + by + c = 0,
∴ 2x - 5= 0
On Comparing, We have
Then, a= 2, b= 0, c= -5
Exercise 4.1 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 9 Mathematics Chapter 4. Linear Equation In Two Variables solutions help you understand the core concepts and practice effectively.
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In short, Exercise 4.1 for 9 Mathematics Chapter 4. Linear Equation In Two Variables are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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