This formula expresses a linear relationship, that is, the linear relationship between the unknown quantity X and the constants A and B.
1, unary linear equation: The unary linear equation belongs to a linear equation, which represents the linear relationship between the unknown quantity X and the constants A and B. This linear relationship is the basic feature of the equation and reflects the direct relationship between the unknown quantity and the known number.
2. Unknown number and known number: In a linear equation with one variable, the unknown number is the number whose value we require, and the known number is the given number. There is a corresponding relationship between the unknown and the known number, which can be found by the solution of the equation.
3. Solving the equation: Solving the equation refers to finding the unknown value that makes the equation hold. In a one-dimensional linear equation, the solution is the value of an unknown quantity that makes both sides of the equation equal. The process of solving an equation is the process of finding this solution.
4. Coefficient and constant: In a linear equation with one variable, coefficient refers to the number before the unknown, and constant refers to the number after the unknown. Coefficients and constants reflect the quantitative relationship between unknowns and known numbers.
5. Integral equation: the linear equation of one variable is an integral equation, that is, the coefficient of the unknown is not 0. Integral equation is a relatively simple equation type, which can be used to solve many practical problems.
6. Equality relation: In a linear equation with one variable, equality relation is a basic mathematical relation, which represents the equality relation between the unknown and the known number. By solving the equation, we can find the solution of this equation.
Specific steps to solve a linear equation with one variable:
1. Denominator removal: multiply both sides of the equation by the least common multiple of each denominator, and remove the denominator to get the whole equation. The purpose of this step is to change the form of equation from fractional equation to integral equation, which reduces the difficulty of solving problems.
2. Remove brackets: according to the rules for removing brackets, remove brackets first, and then move the item. The purpose of this step is to move the unknown in the equation to the left of the equation and the constant term to the right of the equation, which is convenient for subsequent simplification.
3. Move the term: move the unknown to the left of the equation and the constant to the right of the equation. The purpose of this step is to transform the equation into an unknown form, which makes it easier to solve the equation.
4. Merge similar terms: Merge similar terms in the equation to get the simplest form. The purpose of this step is to reduce the number of unknowns and facilitate the solution.
5. Convert the coefficient to 1: divide both sides of the equation by the unknown coefficient at the same time to get an equation with the value of 1. The purpose of this step is to transform the equation into a simple equation, which is easy to solve.
6. Test: Substitute the obtained unknown value into the original equation to test whether it conforms to the original equation. The purpose of this step is to ensure the correctness of the solution.