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NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7

 

NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7 are available at the askIITians website to download for free. These solutions are prepared by highly-qualified Maths experts and include stepwise explanations for every exercise question. Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7 is an optional exercise that includes miscellaneous questions related to the concepts taught in the chapter.  This includes topics like solving pairs of linear equations in two variables using the graphical method, substitution method, elimination method, and cross-multiplication method and reducing equations to a pair of linear equations in two variables. Check out how to download these NCERT Class 10 Maths Solutions for free from our website.

About NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7

 

Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7 includes 8 questions of advanced level. Before you start solving this exercise, you must go through the revision notes prepared by askIITians experts for this chapter. Given below are some important points taken from those revision notes:

 

Linear Equation with Two Variables: An equation which can be put in the form: ax + by + c = 0, where a, b and c are real numbers (a, b ≠ 0) is called a linear equation in two variables ‘x’ and ‘y’. 

 

Pair of Linear Equation with Two Variables: General form of a linear pair of equations in two variables is: a1x + b1y + c1 - 0 and a2x + b2y + c2 = 0

where a1 b1, c1, a2, b2, c2 are real numbers. 

 

Solution of Pair of Linear Equations in Two Variables: Pair of linear equations can be solved using two methods: 

  1. Graphical Method 
  2. Algebraic Method 

In the graphical method, we observe the graphs of the two equations based on the following: 

  1. If the graphs of two equations of a system intersect at a point, the system is said to have a unique solution. In other words, the pair of linear equations is consistent.
  2. If the graphs of two equations of a system are two parallel lines, the system is said to have no solution. In other words, the pair of linear equations is inconsistent.
  3. When the graphs of two equations of a system are two coincident lines, the system is said to have infinitely many solutions. In other words, the pair of linear equations is consistent and dependent.

 

The algebraic method of solving a pair of linear equations includes three methods: 

  1. Substitution 
  2. Elimination 
  3. Cross-multiplication 

The solutions of a pair of linear equations in two variables depend upon: 

  1. If a1/a2 ≠ b1/b2, then the pair of linear equations is consistent,
  2. If a1/a2 = b1/b2, then the pair of linear equations is inconsistent,
  3. If a1/a2 = b1/b2 = c1/c2, then the pair of linear equations is consistent and dependent. 

Download Free NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7

 

Exercise questions included in NCERT Class 10 Maths Chapter 3 Ex 3.7:

 

Ex 3.7 Q1: In this question, you are given the relationship between the ages of 4 people - Ani, Biju, Cathy and Dharam. You are given that the ages of Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. You have to find the ages of Ani and Biju. Let us see how to solve this question step by step in our NCERT Solutions. 

 

Ex 3.7 Q2: In this question, you are given that one says, “Give me a hundred, friend! I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their (respective) capital? This is a tricky question. But, once you read its step by step solution given by our experts, you will be able to solve such questions quickly in competitive exams. 

 

Ex 3.7 Q3: In this question, you are given that a train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. You have to find the distance covered by the train. Check our NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7 to find the solution to this question. 

 

Ex 3.7 Q4: This is another typical word problem question. In this question, you are given that the students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are fewer in a row, there would be 2 rows more. You have to find the number of students in the class.

 

Ex 3.7 Q5: In this question, you are given a triangle ABC with ∠ C = 3 ∠ B = 2 (∠A + ∠ B). You have to find the three angles using the concept of a pair of linear equations in two variables. Learn how to solve such questions using our NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7. 

 

Ex 3.7 Q6: In this question, you are asked to draw the graphs of the equations 5x – y = 5 and 3x – y = 3. You have to determine the coordinates of the vertices of the triangle formed by these lines and the y axis. 

 

Ex 3.7 Q7: In this question, you are given some pairs of linear equations and you have to solve them. In case you face any confusion in this question we have provided stepwise solutions in our Class 10 NCERT Chapter 3 Solutions. 

 

Ex 3.7 Q8: In this question, you are given a figure of a cyclic quadrilateral. The angles of the quadrilateral are given in the form of linear equations. You have to find the value of the angles of the cyclic quadrilateral. Know how to solve this question using our free NCERT Solutions. 

 

Download the NCERT Solutions for Ex 3.7 of Chapter 3 for free from the askIITians website and study at your own pace. This exercise is not from the examination perspective. This means questions from this exercise will not be asked in the Class 10 Maths board exam. But, it is important to practice the questions of this exercise for your complete understanding of the concepts of the chapter. Such questions are asked in competitive exams and olympiads.

NCERT Class 10 Maths Solutions for Chapter 3 Ex 3.7 FAQs

 

  1. How many questions are there in Ex 3.7 of Chapter 3 Pair of Linear Equations in Two Variables? 

This exercise includes 8 advanced-level questions related to a pair of linear equations in two variables. 

 

  1. How to prepare Chapter 3 Pair of Linear Equations for the Class 10 Maths board exam? 

Download the plethora of study resources by askIITians such as NCERT Solutions, extra questions, revision notes, practice papers, previous year questions, mind maps, flashcards and more to prepare Chapter 3 of NCERT Class 10 Maths. 

 

  1. Is Ex 3.7 of NCERT Class 10 Maths Chapter 3 difficult to solve? 

The questions in this exercise are a little different from the questions mentioned in the other six exercises of the chapter. But, the exercise is not difficult to solve if you have our NCERT Solutions by your side. 



 


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