NCERT Solutions For Class 10 Maths Chapter 3 Exercise 3.7
NCERT Solutions for class 10 maths ex 3.7 Pair of Linear Equations in two variables is discussed here. These NCERT solutions are created by subject matter expert at Careers360 considering the latest syllabus and pattern of CBSE 2023-24. This ex 3.7 class 10 includes cross-multiplication, elimination, and substitution methods for solving two-variable linear equations, as well as all of the topics from the whole chapter. A linear equation in two variables is a system of equations of the form ax + by + c = 0, where a, b, c are real numbers, having unique solution, no solutions, or infinitely many solutions. To identify the set of solutions to the linear equations with two variables, there are five mathematical ways including graphical method, replacement method, cross Multiplication method, and elimination method.
NCERT Solutions for Exercise 3.7 Class 10 Maths Chapter 3 - Pair of Linear Equations in two variables These class 10 maths ex 3.2 solutions are designed as per the students demand covering comprehensive, step by step solutions of every problem. Practice these questions and answers to command the concepts, boost confidence and in depth understanding of concepts. Students can find all exercise together using the link provided below.
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Assess NCERT Solutions for Class 10 Maths chapter 3 exercise 3.7
Q3 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. Find the distance covered by the train.
Answer:
Let the speed of the train be v km/h and the time taken by train to travel the given distance be t hours and the distance to travel be d km.
Now As we Know,
Now, According to the question,
Now, Using equation (1), we have
Also,
Adding equations (2) and (3), we obtain:
Substituting the value of x in equation (2), we obtain:
Putting this value in (1) we get,
Hence the distance covered by train is 600km.
Q5 In a , . Find the three angles.
Answer:
Given,
Also, As we know that the sum of angles of a triangle is 180, so
Now From (1) we have
Putting this value in (2) we have
Putting this in (3)
And
Hence three angles of triangles
Q7(v) Solve the following pair of linear equations:
Answer:
Given Equations,
As we can see by adding and subtracting both equations we can make our equations simple to solve.
So,
Adding (1) and )2) we get,
Subtracting (2) from (1) we get,
Now, Adding (3) and (4) we get,
Putting this value in (3)
Hence,
More About NCERT Solutions for Class 10 Maths Exercise 3.7
NCERT solutions for Class 10 Maths exercise 3.7 covered the graphical approach and algebraic method of linear equations in two variables, types of solutions, and their graphs. At times, two systems of equations can be parallel. In such situations, they have no recourse. The two systems of equations may coincide in exceptional cases, resulting in an infinite number of solutions for the given system. The provided system is said to be consistent since it has a unique solution if the two systems of equations overlap. The following tasks are included along with NCERT book Class 10 Maths chapter 3 exercisr 3.7. All 8 questions are related to the graphical method and algebraic method are given in Exercise 3.7 Class 10 Maths. Also students can get access of Pair of linear equations in two variables notes to revise all the concepts discussed in this chapter.
Benefits of NCERT Solutions for Class 10 Maths Exercise 3.7:
- NCERT Solutions for Class 10 Maths exercise 3.7 extensively covers a wide range of inquiries identified with every one of the points like cross-multiplication, elimination, and substitution methods.
- Exercise 3.7 Class 10 Maths, helps the understudies who wish to score high in CBSE Term tests are encouraged to through NCERT solutions for Class 10 Maths exercise 3.7 all through.
- By tackling the NCERT solution for Class 10 Maths chapter 3 exercise 3.7, students can accomplish a decent score in term tests just as in cutthroat assessments.
Also see-
NCERT Solutions of Class 10 Subject Wise
Subject Wise NCERT Exemplar Solutions