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Category | Format | Size |
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Beijing Normal University eighth grade first volume mathematics | pptx | 6 MB |
Description
"Solving a system of linear equations in two variables" A system of linear equations in two variables PPT courseware 4
think
What are the characteristics of the previous systems of equations? What is the basic idea of solving such systems of equations? What are the main steps?
Features: The absolute value of the coefficient of a certain unknown number is the same
Basic idea: addition, subtraction and elimination of elements
Main steps: two-element - one-element
Solve the following system of linear equations in two variables
2x+3y=12
3x+4y=17
Solution: ①×3, get: 6x+9y=36.③
②×2, get: 6x+8y=34. ④
③-④, get: y=2.
Substituting y=2 into ①, we get: x=3.
So the solution to the original system of equations is x=3 y=2
(1) The basic idea of adding, subtracting and eliminating elements to solve a system of linear equations of two variables is still "elimination".
(2) The general steps for solving a system of linear equations in two variables by adding, subtracting and eliminating elements are:
①Deform to make the absolute value of the coefficient of an unknown number equal.
②Add and subtract elements to obtain a linear equation of one element.
③Solve linear equations of one variable.
④ Substitute the value of another unknown number to obtain the solution of the system of equations.
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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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Update Time: 2024-11-22
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