"Solution of linear equations in two variables" PPT courseware

Description

"Solution of linear equations in two variables" PPT courseware

Mathematical thinking methods: substitution elimination method

What can we find by observing equations (1) and (2) in the system of equations?

Discovery 1: If the coefficients of the unknown numbers are opposite to each other, adding the left and right sides of the two equations can eliminate an unknown number.

Discovery 2: If the coefficients of the unknowns are the same, subtracting the left and right sides of the two equations can also eliminate an unknown.

Summary 1

For some systems of linear equations of two variables, the solution can be found by adding or subtracting both sides of the two equations and eliminating one of the unknowns to obtain a linear equation of one variable. This method of solving a system of linear equations in two variables is called the addition, subtraction, and elimination method, or the addition and subtraction method for short.

in conclusion:

In the two equations of the system of equations, if the coefficient of an unknown number is an opposite number, you can directly add both sides of the two equations to eliminate the unknown number; if the coefficient of an unknown number is equal, you can directly add the two sides. Subtract both sides of the two equations to eliminate the unknown. �

Summary 2

The condition for solving a system of linear equations in two variables using addition and subtraction is that the absolute values ​​of the coefficients of a certain unknown number are equal.

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

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

"Solution of linear equations of two variables" PPT:

"Solution to System of Quadratic Equations" PPT Part 1 Content: Give it a try The sum of the two numbers A and B is 9, and the number B is twice the number A. What are the numbers of A and B? Solution 1: Solution: Suppose the number A is x, then the number B is 2x. x+2x=9 Solution: x=3 23=6 Answer...

"Solution of linear equations of two variables" PPT courseware 3:

"Solution of linear equations in two variables" PPT courseware 3 1. Fill in the blanks according to the properties of the equation: 1 If a=b, then ac=bc. (Property of the equation 1) Thinking: If a=bc=d, then a+c=b +d? 2 If a=b then ac=bc. (Property 2 of the equation) 2. What is the key to solving equations using the substitution method? ..

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Update Time: 2024-09-20

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

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