"System of linear equations in three variables" PPT courseware

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"System of linear equations in three variables" PPT courseware

The sum of the ages of the three little animals is 26 years

Rascal Rabbit is 1 year older than Garfield Cat

Rogue Bunny is twice as old as Mickey Mouse combined and 18 years older than Garfield

Find the ages of three small animals?

According to the meaning of the question, assuming that the ages of Rascal Rabbit, Garfield, and Mickey Mouse are x, y, and z respectively, the following three equations can be listed:

x+y+z=26,

x-y=1

2x+z-y=18．

definition

Containing three unknowns, and the degree of the terms containing the unknowns is 1, an integral equation like this is called a linear equation of three variables.

Contains three identical unknowns, and the degree of the terms containing the unknowns in each equation is 1. A system of equations like this is called a system of linear equations in three variables.

How to solve a system of linear equations in three variables?

Steps to find the system of linear equations in three variables:

1. Change "ternary" into "dual"

(That is, eliminating an unknown number)

2. Transform "duality" into "one yuan"

Example 1 Solve a system of equations

1. Change "ternary" into "dual"

Consider which unknown to eliminate (that is, which of the three unknowns should be eliminated?)

Solution 1: Eliminate y

①＋②, get 2x+2z=2

2. Transform "duality" into "one yuan".

Solution 2: Eliminate x

From ③, x=z+4 ④

Substitute ④ into ① and ② to get,

(z+4)+y+z=2 ⑤

(z+4)-y+z=0 ⑥

Simplified,

2z+y=-2 ⑦

2z-y =-4 ⑧

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?

Keywords: Teaching courseware for linear equations in three variables, Qingdao edition seventh grade mathematics second volume PPT courseware download, seventh grade mathematics slide courseware download, linear equations in three variables PPT courseware download, .PPT format;

For more information about the "System of Linear Equations in Three Variables" PPT courseware, please click on the "System of Linear Equations in Three Variables" ppt tab.

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Update Time: 2024-07-30

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

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