"Solving a system of linear equations in two variables" A system of linear equations in two variables PPT courseware 3

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"Solving a system of linear equations in two variables" A system of linear equations in two variables PPT courseware 3

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Do you remember the following question?

Yesterday, 8 of us went to Hongshan Park and bought tickets for 34 yuan.

Each adult ticket is 5 yuan, and each child ticket is 3 yuan. How many adults and how many children did they go to?

Assume there are x adults and y children among them.

The system of linear equations in two variables we list is:

x+y=8 5x+3y=34

think

⑴What is a good name for the previous method of solving the system of equations?

⑵What is the basic idea of ​​solving a system of equations?

⑶What are the main steps in solving a system of equations?

The previous solution to the system of equations is to express an unknown number of one equation with an algebraic expression containing another unknown number, and substitute it into another equation, thereby eliminating an unknown number and transforming the system of linear equations of two variables into a linear equation of one variable. This kind of solution of equations The method of grouping is called substitution elimination method, or substitution method for short.

Steps to solve a system of linear equations in two variables:

The first step: Choose an appropriate equation among the two equations of the known equation system, and express one of its unknowns in an algebraic expression containing the other unknown.

Step 2: Substituting this algebraic expression into another equation without deformation, a linear equation of one variable can be obtained.

Step 3: Solve this linear equation of one variable and get the value of an unknown number.

Step 4: Substitute back to find the value of another unknown number.

Step 5: Express the solution of the system of equations.

Step Six: Inspection

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For more information about the PPT courseware "Solving a system of linear equations in two variables from a system of linear equations in two variables", please click the "Solving a system of linear equations in two variables ppt" tag.

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"Solving a system of linear equations in two variables" System of linear equations in two variables PPT courseware 2:

"Solving a system of linear equations in two variables" PPT courseware for a system of linear equations in two variables 2 Learning objectives 1. Understand the basic idea of ​​the addition, subtraction and elimination method, and initially embody the reduction idea of ​​turning the unknown into the known in mathematical research. 2. Clarify the solution 2 Steps to solve a system of linear equations in two variables. 3. Understand and solve linear equations in two variables..

"Solving Systems of Linear Equations in Two Variables" PPT courseware for systems of linear equations in two variables:

"Solving a system of linear equations in two variables" A system of linear equations in two variables PPT courseware Learning objectives 1. Master the steps of using the substitution method to solve a system of linear equations in two variables. 2. Be proficient in using the substitution method to solve simple systems of linear equations of two variables. 3. Cultivate students' analytical skills and be able to quickly analyze the information given..

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Update Time: 2024-09-06

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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