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

Description

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

learning target

1. Understand the basic idea of ​​addition, subtraction and elimination, and initially embody the reduction idea of ​​"turning the unknown into the known" in mathematical research.

2. Clearly explain the steps for solving a system of linear equations in two variables.

3. Understand the idea of ​​"elimination" in solving linear equations of two variables.

What are the steps to solve a system of equations using the substitution method?

The main steps:

Deformation - using an algebraic expression containing an unknown number to express another unknown number

Substitute - eliminate one element

Solve-Find the values ​​of two unknowns respectively

Write Solution - Write the solution to the system of equations

Solve systems of equations using addition and subtraction:

2x+3y=12

3x+4y=17

Analysis: When the two equations in the system of equations do not have the above characteristics, the equality property must be used to change the form of the equations in the system of equations, that is, a new equation that has the same solution as the original system of equations and has the same absolute value of an unknown coefficient is obtained. group, thereby creating conditions for solving the system of equations by the addition, subtraction, and elimination elements method.

[Analysis] ①×3: 6x+9y=36 ③

②×2: 6x+8y=34 ④

③-④: y=2

Substitute y=2 into ①,

Solution: x=3

So the solution to the original system of equations is x=3 y=2

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"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: 2024-09-05

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

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