1. elimination method: elimination method can simplify the solution process of binary equation. Multiplying the coefficient of one variable by the corresponding term in another equation, and subtracting or adding the results, one of the variables can be eliminated, thus obtaining the unary equation. Then, solve this unary equation and find the value of another variable. Finally, the value of another variable can be obtained by substituting the found variable value into the original equation.
2. Replacement method: Replacement method is a direct method, which is suitable for simple binary equations. First, one unknown in an equation is selected as X, and the other unknown is solved as Y .. Then the obtained Y value is substituted into another equation to calculate the value of X, so that two unknowns can be obtained.
3. Mirror image method: For some complex binary equations, we can solve the problem by drawing their mirror images. According to the relationship between variables in the equation, corresponding straight lines or curves can be drawn on the coordinate system. Then, observe the intersection or tangent on the image to determine the solution of the equation.
4. Using identities: Sometimes we can use known identities to simplify the process of solving binary equations. For example, if two equations have the same form, you can use the properties of identities to eliminate one of the variables, thus obtaining a unary equation.
5. Use symmetry: For some special binary equations, symmetry can be used to simplify the solution process. For example, if two equations have the same form and constant terms, they may have the same solution.
6. Use algebraic skills: Sometimes algebraic skills can be used to simplify the process of solving binary equations. For example, we can simplify the form of the equation by factorization, matching, square root and other operations, so that it is easier to solve.
In a word, different methods and skills are needed to solve the problem of binary equation. Mastering these methods skillfully and combining with specific problem situations can effectively solve the binary equation problem in junior high school mathematics.