"Solution of linear equations of two variables" PPT courseware 2

Description

"Solution of linear equations of two variables" PPT courseware 2

Knowledge review

Question 1: What is a linear equation of two variables?

An equation containing two unknowns whose terms are all of degree 1 is called a linear equation of two variables.

Question 2: What is a system of linear equations in two variables?

A system of equations consisting of two linear equations and containing two unknowns

Question 3: What is the solution of a system of linear equations in two variables?

The values ​​of the two unknowns that make the left and right sides of the two equations in a system of linear equations in two variables equal (that is, the common solution to the two equations).

learning target

1. Master the use of substitution method to solve systems of linear equations in two variables.

2. Summarize the ideas and steps for solving a system of linear equations in two variables using the substitution method.

Happy exploration

1. How to use an algebraic expression containing one unknown number to express another unknown number?

2. Through the preview of exploration, you can initially understand the solution to the system of linear equations in two variables.

3. Learn to use the substitution method to solve linear equations of two variables.

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

1. Transform an equation in the system of equations and use an equation containing one unknown number to represent another unknown number;

2. Use this formula 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;

3. Substitute the value of this unknown number into the above formula to find the value of another unknown number;

4. Write the solution to the system of equations.

Solving a set of linear equations in two variables can be divided into the following steps.

1. Express an unknown number of an equation in a system of equations using an expression containing another unknown number.

2. Substitute the obtained formula into another equation to obtain a linear equation of one variable and solve it.

3. Substitute the obtained solution into the equation to find the solution to the other unknown.

4. Merge the two solutions.

Talk about gains

What knowledge did we learn in this lesson?

1. System of linear equations of two variables Substituting the elimination method into the linear equation of one variable

2. General steps for substituting the elimination method:

Change generation to ask for writing

3. Thinking methods: transforming ideas, substituting elimination ideas, and equation (group) ideas.

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For more information about the PPT courseware "Solutions to Systems of Linear Equations in Two Variables", please click on the "Solutions to Systems of Linear Equations in Two Variables" ppt tag.

"Solution of linear equations of two variables" PPT download:

"Solution of linear equations of two variables" PPT download Part 1: Review the past and learn the new What is the idea of ​​solving the system of linear equations of two variables? What is substitution elimination method? What are the steps for solving problems by substitution elimination method? Observe the following linear equations of two variables and look for their characteristics..

"Solution of linear equations of two variables" PPT:

"Solution to System of Quadratic Equations" PPT Part 1 Content: Give it a try The sum of the two numbers A and B is 9, and the number B is twice the number A. What are the numbers of A and B? Solution 1: Solution: Suppose the number A is x, then the number B is 2x. x+2x=9 Solution: x=3 23=6 Answer...

"Solution of linear equations of two variables" PPT courseware 3:

"Solution of linear equations in two variables" PPT courseware 3 1. Fill in the blanks according to the properties of the equation: 1 If a=b, then ac=bc. (Property of the equation 1) Thinking: If a=bc=d, then a+c=b +d? 2 If a=b then ac=bc. (Property 2 of the equation) 2. What is the key to solving equations using the substitution method? ..

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Update Time: 2024-10-20

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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