"Solution of linear equations of two variables" PPT

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"Solution of linear equations of two variables" PPT

Part One: Give it a try

The sum of the numbers A and B is 9, and the number B is twice the number of A. What are the numbers of A and B?

Solution one:

Solution: Suppose the number A is x, then the number B is 2x.

x+2x=9

Solution: x=3

2×3=6

Answer: A’s number is 3 and B’s number is 6.

summary

Problem-solving ideas:

Solving a system of linear equations of two variables mainly involves converting the system of linear equations of two variables into a linear equation of one variable and then solving them.

Solution of linear equations in two variables PPT, part 2 content: class review

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

What is substitution elimination method?

What are the steps for solving problems by substitution elimination method?

Steps for solving a system of linear equations in two variables using the substitution method

① Select a linear equation deformation with simpler coefficients, and use an algebraic expression containing one unknown number to represent the other unknown number;

② Substitute the deformed equation into another equation, eliminate an unknown, and obtain a linear equation of one variable (when substituting, be careful not to substitute it into the original equation, but only substitute it into another equation without deformation to achieve the purpose of elimination. .);

③ Solve this linear equation of one variable and find the value of the unknown;

④ Substitute the obtained value of the unknown number into the deformed equation in ① to find the value of the other unknown number;

⑤ Use "{" to combine the values ​​of two unknowns, which is the solution to the system of equations;

⑥Finally check whether the obtained result is correct (substitute it into the original system of equations to check whether the equation satisfies the left side = right side).

Solution of linear equations in two variables PPT, the third part: expand thinking

Example 3: Solving a system of linear equations in two variables

7x+4y-10=0 ①

4x+2y-5=0 ②

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for the second volume of seventh grade, PPT download of solutions to linear equations in two variables, .PPT format;

For more information about the PPT courseware "Solutions to Systems of Linear Equations in Two Variables", please click on the "Solutions to Systems of Linear Equations in Two Variables" ppt tag.

"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 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? ..

"Solution of linear equations of two variables" PPT courseware 2:

"Solutions to Systems of Linear Equations of Two Variables" PPT Courseware 2 Knowledge Review Question 1: What is a linear equation of two variables? An equation containing two unknowns whose terms are all of degree 1 is called a linear equation of two variables. Question 2: What is a system of linear equations in two variables? ..

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Update Time: 2024-07-04

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

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