ccssmathcontent-solving-word-problems-system-of-linear-equations-by-elimination-method

CCSS.Math.Content | Solving Word Problems system of linear equations by Elimination method

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Elimination Method

let us consider another method of eliminating (i.e., removing) one variable

Let us now note down these step to solve equations by the elimination method :

Step 1 : First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y ) numerically equal.

Step 2 : Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. If in Step 2, we obtain a true statement involving no variable, then the original pair of equations has infinitely many solutions. If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.

Step 3 : Solve the equation in one variable (x or y) so obtained to get its value.

Step 4 : Substitute this value of x (or y ) in either of the original equations to get the value of the other variable.

Practice word problems - systems of equations | Linear systems word problem with Elimination Method

00:02 Q2. Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :

00:28 (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?

03:55 (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?

07:27 (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.

14:02 (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.

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.

Execution:

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.

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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

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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

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