Solving Word problems by Substitution Method | Practice word problems - systems of Linear equations

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Objective of this video content

• To solve the pair of linear equations by substitution method.

• Learn Algebraic Methods of Solving a Pair of Linear Equations

Description: In this video students will algebraically solve the pair of linear equations by

substitution method. They will find the value of one variable in terms of other from the first

equations and substitute its value in the second equation to get linear equation in one variable.

They will solve the equation obtained and get the value of one variable. Further they will find

the value of another variable using the value of first variable.

Execution: Teacher will distribute the worksheets and students will solve the worksheets.

Teacher will discuss the questions on Linear systems once the students complete their worksheets.

Parameters for Assessment:

. Able to write find the value of one variable in terms of other from first equation.

. Able to substitute the above value in the second equation to get a linear equation in one

variable.

. Able to solve the equation thus obtained and get the value of one variable.

. Able to find the value of second variable by using the value of first variable.

. Able to write the solution of pair of linear equation.

Solve word problems | Application in word problems | Procedure

• Able to identify the variables from problems given statement

• Able to frame pair of linear equations correctly

• Able to solve the equations by any of the above methods

• Able to verify the solution.

Procedure for Solve pair of equations by substitution method:

Step 1 : We pick either of the equations and write one variable in terms of the other.Say x=f(y).

Step 2 : Substitute the value of x in other Equation.solve for y

Step 3 : Substituting this value of y in Equation x=f(y).Solve for x.

We have substituted the value of one variable by expressing it in terms of the other variable to solve the pair of linear equations. That is why the method is known as the substitution method.

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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

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

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