Successive substitution method:

Successive substitution method is one of the most basic methods to solve equations, which is suitable for one-dimensional linear equations. First, we substitute the unknown in the equation into an appropriate value, and then calculate step by step until we find a solution that satisfies the equation.

For example, if we want to solve the equation 2x+3=9, we can substitute x= 1 and calculate 2( 1)+3=5, which does not satisfy the equation. Then, we substitute x=2 and get 2(2)+3=7, which still does not satisfy the equation. Finally, we substitute x=3 and calculate 2(3)+3=9, which satisfies the equation. So the solution of the equation is x=3.

Backward method:

Backstepping method is also a method to solve linear equations with one variable. Different from the successive substitution method, the backward deduction method starts from the right side of the equation and gradually solves the unknown value through reverse operation. For example, if we want to solve the equation 2x+3=9, we can subtract the 3 on the right side of the equation to get 2x=6. Then, we divide the coefficient 2 on the left side of the equation by 2 and get x=3. So the solution of the equation is x=3.

Translation method:

The translation method is suitable for solving linear equations with coefficient 1. Its idea is to simplify the equation into the relationship between x and constant by translating the equation. For example, if we want to solve the equation x+5=9, we can move the 5 on the left side of the equation to the other side of the equal sign to get x=9-5, which is simplified to x=4. So the solution of the equation is x=4.

The above are several solutions of linear equations in fifth grade mathematics. By solving the equation in different ways, the unknown value can be obtained more flexibly and accurately when solving practical problems. I hope students can master these methods and use them flexibly in solving problems.

Expand one's knowledge

An equation refers to an equation containing unknowns. It is an equation that represents the equal relationship between two mathematical expressions (such as two numbers, functions, quantities and operations), and the value of the unknown quantity that makes the equation hold is called "solution" or "root". The process of finding the solution of the equation is called "solving the equation".

By solving the equation, we can avoid the difficulty of reverse thinking and directly list the equations with the quantity to be solved. There are many forms of equations, such as one-dimensional linear equation, two-dimensional linear equation, one-dimensional quadratic equation and so on. , can also be combined into equations to solve multiple unknowns.