"Solving a system of linear equations in two variables" A system of linear equations in two variables PPT (Lesson 1)

Description

"Solving Systems of Linear Equations in Two Variables" System of Linear Equations in Two Variables PPT (Lesson 1), 17 pages in total.

Part One: Learning Objectives

1. Be able to use the substitution method to solve systems of linear equations in two variables. (Key points and difficulties)

Solving a system of linear equations in two variables PPT, part 2: teaching a new lesson

Solving a system of linear equations in two variables using the substitution method

In conclusion

The idea of ​​eliminating one of the unknowns and converting the system of linear equations of two variables into solving a linear equation of one variable is called the idea of ​​elimination.

Find the expression of an unknown number from one equation, and then "substitute" it into another equation to solve it. This method is called the substitution elimination method, or the 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 6: Test (oral calculation or written calculation on scratch paper), that is, substitute the obtained solution into each equation to see whether it holds true.

Solving a system of linear equations in two variables PPT, the third part: practice in class

1. The solution to a system of linear equations in two variables is ( )

2. The solution of the system of equations is ( )

3. Solve the following system of equations.

Solving linear equations in two variables PPT, part 4 content: Class summary

The basic idea is to "eliminate elements"

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

Variation: Use an equation containing one unknown number to express another unknown number

Substitution: Use this formula to replace the corresponding unknown number in another equation

Find: Find the values ​​of two unknown numbers

Write: Write the solution to the system of equations

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Update Time: 2024-11-22

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