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"Solution of linear equations in two variables" PPT courseware 3
1. Fill in the blanks according to the properties of the equation:
<1>If a=b, then a±c=b±c. (Equation Property 1)
Thinking: If a=b,c=d, then a+c=b+d?
<2>If a=b, then ac=bc. (Equation Property 2)
2. What is the key to solving equations using the substitution method?
3. What is the basic idea of solving a system of linear equations in two variables?
1. What is the basic idea of solving a system of linear equations in two variables?
Basic idea: Elimination: two elements - one element
2. What are the steps to solve equations using the substitution method?
The main steps:
1. Deformation: Use an algebraic expression containing one unknown number to express another unknown number, written as y=ax+b or x=ay+b
2. Substitute Substitute the deformed equation into another equation and eliminate one element
3. Solve and find the values of the two unknowns respectively.
4. Write the solution. Write the solution of the system of equations.
Summary: When the coefficients of the same unknown in two linear equations of two variables are opposite or equal, adding or subtracting both sides of the two equations can eliminate the unknown and obtain a linear equation of one variable. This method is called the addition, subtraction, and elimination method, or the addition and subtraction method for short.
Addition and subtraction induction:
When using addition and subtraction to solve a system of linear equations of two variables whose absolute values of the coefficients of the same unknown are not equal and are not integer multiples, multiply both sides of one (or two) equations by appropriate numbers so that one of the two equations The absolute values of the coefficients of the unknowns are equal, thus turning it into a system of equations of the first type to be solved.
Can you summarize what we have today?
1. In this lesson, we know that the basic idea of using the addition, subtraction and elimination method to solve a system of linear equations in two variables is still "elimination". The main step is to eliminate one of the unknown numbers by adding (subtracting) the two equations.
2. Substitute the obtained solution into the original system of equations to check whether the problem-solving process is correct.
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"Solution of linear equations of two variables" PPT courseware 2:
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