"Understanding systems of linear equations of two variables" System of linear equations of two variables PPT courseware 2

Description

"Understanding systems of linear equations of two variables" System of linear equations of two variables PPT courseware 2

learning target:

1. Understand concepts related to linear equations of two variables, systems of linear equations of two variables and their solutions, and be able to judge whether a set of numbers is the solution to a system of linear equations of two variables.

2. Through discussions and exercises, students can further develop their ability to observe, compare and analyze.

3. Through the analysis of practical problems, students can further understand that equations are effective mathematical models that describe the real world, and cultivate students' good awareness of mathematical applications.

1. What is an equation?

An equation with unknown numbers is called an equation.

For example: 2x+3=5, x+y=8.

2. What is a linear equation of one variable?

In an equation, there is only one unknown number, and the exponent of the unknown number is 1. Such an equation is called a linear equation of one variable.

For example: 2x+3=5, y+6=8.

3. Solve the following equations:

(1) 3x＋2＝14 (2)2x-4=14-x

Which of the following equations are linear equations in two variables?

(1) x+y+z=9 (2) x=6

(3) 2x+6y=14 (4) xy+y=7

(5) 7x+6y+4=16 (6) x²+y=6

The objects represented by x and y are the same, so x and y must satisfy the equations x+y=8 and 5x+3y=34 at the same time. Connecting them, we get:

A set of equations composed of two linear equations containing two unknowns is called a system of linear equations in two variables.

Note: The same letter in each equation of the system of equations must represent the same quantity.

Class summary

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

2. A set of equations consisting of two linear equations containing two unknowns is called a system of linear equations of two variables.

3. A set of unknown values ​​suitable for a linear equation of two variables is called a solution of the linear equation of two variables.

4. The common solution of each equation in a system of linear equations of two variables is called the solution of this system of linear equations of two variables.

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For more information about the PPT courseware "Learning the system of linear equations in two variables and understanding the system of linear equations in two variables", please click the PPT tag of "Learning the system of linear equations in two variables ppt".

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Update Time: 2024-11-22

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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