"System of linear equations in two variables" PPT courseware 3

Description

"System of linear equations in two variables" PPT courseware 3

An equation that contains an unknown number and 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 equation ax+b=0 (a≠0) is called the standard form of a linear equation of one variable.

The value of the unknown that equalizes the values ​​of the unknowns on the left and right sides of the equation 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

4. Be able to transform practical problems into a system of linear equations of two variables by setting two unknowns.

Self-study guide:

Read the contents of textbook P93~94 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

Think: What are the similarities between the above equations?

Same point

1: The number of unknown numbers is all 2

2: The maximum number of items containing unknown numbers is 1 time

3: The term containing the unknown number is an integer rather than a fraction (that is, the denominator does not contain an unknown number)

An equation that contains two unknowns and the terms of the unknowns are all of degree 1 is called a linear equation of two variables.

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

3. The equation ax2+bx+2y=3 about x and y is a linear equation of two variables, then the values ​​of a and b are ( )

A, a=0 and b=0

B, a=0 or b=0

C, a=0 and b≠0

D. a≠0 and b≠0

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.

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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.

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Update Time: 2024-09-06

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

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