"System of linear equations in two variables" PPT

Description

"System of linear equations in two variables" PPT

Part One: Review and Objectives

review review

An equation that contains an unknown number, the degree of the unknown number is 1, and the coefficient is not equal to 0 is called a linear equation of one variable.

The value of the unknown that makes the left and right sides of the equation equal is called the solution of the equation.

learning target:

1. Understand the concepts of linear equations of two variables and systems of linear equations of two variables.

2. Understand the concepts of solutions to linear equations of two variables and solutions to systems of linear equations of two variables.

3. And will check whether the value of a set of unknown numbers is the solution of the equation or the solution of the system of equations

Study guide:

Read the contents of P2~3 of the textbook carefully and complete:

1. Understand the concepts of linear equations of two variables, systems of linear equations of two variables and their solutions.

2. Be able to transform practical problems into a system of linear equations of two variables by setting two unknowns. Can test solutions to equations or systems of equations

After 5 minutes, compare who can complete the test and practice correctly

System of linear equations of two variables PPT, the second part of the content: Discuss:

In the above equations X-Y=2 and X+1=2(Y-1), do X and Y have the same meaning?

The meanings of X and Y are the same respectively. Therefore, X and Y must satisfy the equations X-Y=2 and X+1=2(Y-1) at the same time. By combining them, we get:

X-Y=2

X+1=2(Y-1)

Like this, when two linear equations are put together, there are two unknowns, thus forming a system of linear equations in two variables.

Generally speaking, the common solution of two equations of a system of linear equations of two variables is called the solution of this system of linear equations of two variables.

A system of linear equations in two variables has one and only one solution.

Can you tell me how to check their solutions?

System of linear equations in two variables PPT, part 3: after-class exercises

1. Multiple choice questions

1. The linear equation of two variables 3x+2y=11 ( )

A. Any pair of rational numbers is its solution

B. There is only one solution

C. There are only two solutions

D. Infinitely many solutions

2. The following system of equations: (x, y are unknowns, a, b are constants)

x+y=3 2x+y=1 x=3 x=a

⑴ ⑵ ⑶ ⑷

2x-y=3 y+z=2 y=4 x-y=b

Among them, the number of systems of linear equations of two variables is ( )

A, 1 B, 2 C, 3 D, 4

System of linear equations in two variables PPT, part 4 content: Class summary:

1. The equation contains two unknowns (x and y), and the exponents of the unknowns are both 1. An equation like this is called a linear equation of two variables.

2. After combining the two linear equations, there are two unknowns, forming a system of linear equations in two variables.

3. The values ​​of the two unknowns that make the values ​​on both sides of a linear equation of two variables equal are called solutions to the linear equation of two variables.

4. Generally, the common solution of the two equations of a system of linear equations of two variables is called the solution of the system of linear equations of two variables.

5. A linear equation of two variables has infinite solutions; a system of linear equations of two variables has one and only one solution.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, PPT download of linear equations in two variables, .PPT format;

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

"Application of linear equations of two variables" PPT courseware:

The first part of the PPT courseware "Applications of Linear Equations in Two Variables": Basic Quantity Relationships in Travel Problems Distance = Time Speed ​​Time = Distance/Speed ​​Speed ​​= Distance/Time Simultaneous travel in opposite directions Distance = Sum of time speeds Simultaneous travel in the same direction =speed of time..

"Applications of Systems of Quadratic Equations" PPT:

"Applications of Linear Equations of Two Variables" PPT Part One: Review the past and learn the new. List the basic steps for solving word problems with linear equations of one variable. What is the key to solving word problems using equations? Find the equivalence relationship. The problem of two horses carrying a load is a widely circulated question in ancient India..

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

"Solution to a system of linear equations of two variables" PPT download Part 1: Review the past and learn the new What is the idea for solving a 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..

File Info

Update Time: 2024-09-04

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

Preview