Common Core math | Substitution Method and Elimination Method for solving Linear Equations
let us consider another method of eliminating (i.e., removing) one variable
Specific Objective of this video:
Algebraic Methods of Solving a Pair of Linear Equations
• Solving the pair of linear equations by elimination method and Substitution Method.
Description: This video is designed to solve the pair of linear equations by elimination method.
Students will make the coefficient of one variable equal in both the equations by multiplying
both equations will suitable numbers. They will add/subtract the equations so that term having
same variable eliminates. Further they will solve the linear equation in one variable which they
will get and find the value of that variable. They will get the value of another variable and write the solution of pair of linear equations.
Make the coefficients of any one variable equal in both the equations.
Add/subtract the equations to eliminate one variable.
Solve the equation thus obtained and get the value of one variable.
Find the value of second variable by using the value of first variable.
Write the solution of pair of linear equation.
00:02 Q1. Solve the following pair of linear equations by the elimination method and the substitution method :
00:15 (i) Solve the system of linear equations in two variables by the elimination method
00:40 Solving linear equations by elimination method
03:35 Substitution Method for Solving Pair of Linear Equations
06:03 (ii) Solving the system of linear equations in two variable by the elimination method and the substitution method :
06:30 Solve pair of linear equations by elimination method
09:28 Solve by substitution Method
12:29 (iii) Apply substitution method & elimination method to solve the pair of linear equations
13:20 Solving equations algebraically by elimination method
17:45 Substitution Method for Solving Pair of Linear Equations
Practice word problems - systems of equations | Linear systems word problem with Elimination Method
21:15 Q2. Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
21:42 (i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reducesto 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?
25:10 (ii) Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
28:42 (iii) The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
35:27 (iv) Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.
36:52 (v) A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
CBSE solutions for class 10 maths Chapter 3 Pair of linear equations Exercise 3.4
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations Ex 3.2
Solve the system of linear equations in two variables by substitution method
Solutions for CBSE class 10 Maths Pair of linear equations
Linear systems word problem with substitution
NCERT solutions for CBSE class 10 maths Pair of linear equations
graphical representation | Graphical Method | algebraical Method | parallel coincident | consistent | inconsistent | Algebraic Methods | Solving a Pair of Linear Equations | Substitution Method | Elimination Method | Cross - Multiplication Method | Solving system of linear equations
CBSE class 10 maths Solutions Pair of linear equations Exercise 3.5
Common core Math System of linear equations
ICSE Class 10 Pair of linear equations
Tagged under: ncert solutions,learncbse.,gyanpub,Common Core math,Math Algebra,Algebra_For Dummies,Substitution & Elimination method,Word Problems,solving Linear Equations,Systems Linear Equations
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