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

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

1. How to solve the linear equation system of two variables 3x-y=2 2x+y=3?

Substitution elimination method Addition and subtraction elimination method

2. What is the basic idea of ​​solving a system of linear equations in two variables?

Solution: Assume that the 1 yuan, 2 yuan, and 5 yuan banknotes are x, y, and z respectively. According to the meaning of the question, the following three equations can be obtained:

x+y+z=12, x+2y+5z=22, x=4y.

linear equation of three variables

There are three unknowns in total, and the degree of the unknown terms is all 1. An integral equation like this is called a linear equation of three variables.

If one of the three equations is a linear equation in two variables (such as ③ in Example 1), you can first eliminate the other two equations. During the elimination, the linear equation in three variables will be eliminated. (such as ③ in Example 1) is the missing element. If a certain yuan is missing, a certain yuan will be eliminated.

When selecting a specific method to ternary a binary, attention should be paid to choosing the most appropriate and simplest method.

summary

(1) What is the concept of a system of linear equations in three variables?

(2) What is the basic idea of ​​solving a system of linear equations in three variables?

(3) When ternary binary, what should be paid attention to when choosing a specific method?

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

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Update Time: 2024-11-22

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