| Category | Format | Size |
|---|---|---|
| Beijing Normal University eighth grade first volume mathematics | pptx | 6 MB |
"Solving Systems of Linear Equations in Two Variables" PPT courseware for systems of linear equations in two variables
Description
"Solving Systems of Linear Equations in Two Variables" PPT courseware for systems of linear equations in two variables
Think about it?
Question 1: What is a linear equation of two variables?
Answer: An equation that contains two unknowns and the terms of the unknowns are all of degree 1 is called a linear equation of two variables.
Question 2: Which student can give examples in life of using a system of linear equations in two variables to solve problems. And list the equations according to the meaning of the question.
Li Ming and his mother bought 5 kilograms of apples and pears for 18 yuan in total. 1 kilogram of apples sold for 4 yuan and 1 kilogram of pears sold for 3 yuan. How many kilograms of apples and pears did Li Ming and his mother buy?
Analysis (1) Weight of apples + weight of pears = 5 (2) Total price of apples + total price of pears = 18
Suppose you buy x kilograms of apples and y kilograms of pears.
The system of equations is {x+y=5 4x+3y=18
Students: Have you realized from the above study what is the basic idea of solving a system of equations? What are the main steps?
Do you come to the same conclusion as me?
Answer: The basic idea of solving the above system of equations is "elimination"------turning "two variables" into "one variable". The main steps are: express an unknown number of one of the equations with an algebraic expression containing another unknown number, and substitute it into another equation, thereby eliminating one unknown number and transforming the system of linear equations of two variables into a linear equation of one variable. This method of solving a system of equations is called substitution elimination method, or substitution method for short.
Students: Can you summarize what we learned today?
1. In this lesson, we know that the basic idea of using the substitution and elimination method to solve a system of linear equations in two variables is "elimination". That is to say, convert "binary" into "uniary", and transform the system of linear equations in two variables into linear equations in one variable.
2. Substitute the obtained solution into the original system of equations to check whether the problem-solving process is correct.
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For more information about the PPT courseware "Solution of linear equations in two variables to a system of linear equations in two variables", please click the "Solution to a system of linear equations in two variables ppt" tag.
"Solution of linear equations in two variables using the substitution method" PPT courseware for linear equations in two variables:
"Solution of linear equations in two variables by substitution method" System of linear equations in two variables PPT courseware 1. Review questions 1. What is a linear equation in two variables? System of linear equations in two variables? Solution to a system of linear equations in two variables? 2. What is the method for testing the solution of a system of linear equations in two variables? 3. The following...
"Solving System of Quadratic Equations by Substitution and Elimination Method" System of Quadratic Equations PPT Courseware:
"Solution of linear equations in two variables by substitution and elimination" PPT courseware teaching purpose of linear equations in two variables: to enable students to use the substitution and elimination method to solve linear equations in two variables. Teaching focus: the general method of solving linear equations in two variables using the substitution method. Steps. Teaching difficulties: Understand the substitution elimination method and...
"Solving Systems of Linear Equations in Two Variables" System of Linear Equations in Two Variables PPT Courseware 4:
"Solving Systems of Linear Equations in Two Variables" System of Linear Equations in Two Variables PPT Courseware 4 Thinking What are the characteristics of these previous systems of equations? What is the basic idea of solving this type of system of equations? What are the main steps? Features: The absolute values of the coefficients of a certain unknown number are the same. Basic idea: addition, subtraction, elimination..
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Update Time: 2024-06-28
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