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

Description

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

learning target

1. Master the steps of solving a system of linear equations in two variables using the substitution method.

2. Be proficient in using the substitution method to solve simple systems of linear equations of two variables.

3. Cultivate students' analytical ability and be able to quickly select an equation with simpler coefficients for deformation from the given system of linear equations in two variables.

Question 1: What is a system of linear equations in two variables?

Answer: A set of equations consisting of two linear equations containing two unknowns is called a system of linear equations of two variables.

Question 2: Can any student give an example 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.

induction

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

Class summary

1. In this lesson, we know that the basic idea of ​​using the substitution elimination method to solve a system of linear equations in two variables is "elimination". That is, converting "two variables" into "one variable", and converting a system of linear equations in two variables into a linear equation in one variable .

2. Substitute the obtained solution into the original system of equations to check whether the solution is correct.

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Update Time: 2024-11-23

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

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