For example, find the solution of the equations x+y=3 and 2x+y=5.
1. Write the two equations as x = x=……, that is, x=3-y and x = (5-y) ÷ 2;
2. In this way, the equation is transformed into a linear equation: 3-y=(5-y)÷2, and the solution is y =1;
3. It is further found that x=2.
Extended data:
Eliminate ideas:
"Elimination" is the basic idea of solving binary linear equations. The so-called "elimination" is to reduce the number of unknowns, so that the multivariate equation can eventually be transformed into a univariate multivariate equation and then the unknowns can be solved. This solution, that is, the solution in which the number of unknowns in the equation decreases from more to less, is called elimination solution.
Elimination methods are generally divided into: substitution elimination method, referred to as substitution method; Addition, subtraction and elimination method, abbreviation: addition and subtraction; Sequential exclusion method; Integral replacement method