"Solving System of Quadratic Equations by Substitution and Elimination Method" System of Quadratic Equations PPT Courseware

Description

"Solving System of Quadratic Equations by Substitution and Elimination Method" System of Quadratic Equations PPT Courseware

Teaching purpose: To enable students to use the substitution elimination method to solve systems of linear equations of two variables.

Teaching focus: General steps for solving a system of linear equations in two variables using the substitution method.

Teaching difficulties: Understand the mathematical ideas of substitution elimination method and turning unknown into known.

Knowledge review

A system of equations consisting of two linear equations and containing two unknowns is called a system of linear equations in two variables.

The common solution to each equation in a system of equations is called the solution of the system of equations

judge

The solution of each equation in the system of linear equations of two variables must be the solution of the system of equations ( )

The solution of a system of equations must be the solution of each equation that makes up the system of equations ( )

induction

What is the basic idea of ​​solving the above system of equations? What are the basic steps?

The basic idea of ​​​​solving the above system of equations is "elimination" - turning "two variables" into "one variable".

The main steps are: express an unknown number in one of the equations with an algebraic expression containing another unknown number, and substitute it into another equation, thereby eliminating one unknown number and transforming the system of linear equations of two variables into a linear equation of one variable. This method of solving a system of equations is called substitution elimination method, or substitution method for short.

Explore: For x+2y=5, consider the following questions:

(1) Express x with a formula containing y;

(2) Use a formula containing x to express y;

(3) The solution of the equation within the range of natural numbers is

General steps for solving systems of linear equations in two variables using the substitution method

1. Transform an equation in a system of equations and use a linear expression containing one unknown number to represent another unknown number (deformation)

2. Use this linear equation to replace the corresponding unknown number in another equation to obtain a linear equation of one variable and find the value of an unknown number (substitution)

3. Substitute the value of this unknown number into the linear expression to find the value of the other unknown number (substitute again)

4. Write the solution to the system of equations (write the solution)

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For more information about the PPT courseware "Substituting linear equations of two variables into the elimination method", please click the "Substituting the linear equations of two variables ppt into the elimination method" ppt tag.

"Solution of linear equations in two variables using the substitution method" PPT courseware for linear equations in two variables:

"Solution of linear equations in two variables by substitution method" System of linear equations in two variables PPT courseware 1. Review questions 1. What is a linear equation in two variables? System of linear equations in two variables? Solution to a system of linear equations in two variables? 2. What is the method for testing the solution of a system of linear equations in two variables? 3. The following...

"Elimination - Solution to System of Linear Equations in Two Variables" PPT courseware for system of linear equations in two variables:

"Solution method of linear equations in two variables" PPT courseware for linear equations in two variables. Learning objectives of this section: 1. Be able to use the substitution method to solve linear equations in two variables. 2. Preliminarily understand the basic idea of ​​elimination in solving linear equations of two variables. 3. By studying the characteristics of the unknowns in the equation...

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Update Time: 2024-10-18

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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