1, one-dimensional linear equation is one of the most basic equations in mathematics, which contains only one unknown, and the highest degree of the unknown is one. The standard form of a linear equation with one variable is ax+b=0(x is unknown, A and B are known numbers, and a≠0). A and b represent unknown coefficients and constant terms respectively. Denominator: both sides of the equation are multiplied by the least common multiple of the denominator at the same time to eliminate the influence of the denominator.
2. Bracket removal: add and subtract the values in brackets on both sides of the equation at the same time to eliminate the influence of brackets. Shift term: add or subtract the same value on both sides of the equation at the same time, so that the coefficient of unknown quantity becomes positive. Merge similar terms: add and subtract similar terms on both sides of the equation to eliminate the influence of similar terms.
3. The coefficient becomes 1: both sides of the equation are divided by the coefficient of the unknown quantity at the same time to get the value of the unknown quantity. Through the above steps, we can find the solution of one-dimensional linear equation. It should be noted that if the equation has no solution or countless solutions, then the original problem may have no solution or multiple solutions.
4. Besides the standard linear equation, there are some deformed linear equations, such as ax-b=0, ax+c=b, etc. These deformation equations can be obtained by simply transforming the standard form of one-dimensional linear equations.
The linear equation of one variable is a very important tool in mathematics, which can help us solve various practical problems. Mastering the basic concepts and solutions of linear equations with one variable is of great help to improve mathematical literacy and solve practical problems.
The application of linear equations in mathematics is as follows:
1, linear equation of one variable is an important tool in mathematics, which is widely and deeply used. This equation is simple in form and contains only one unknown number, and the unknown number is at most once, which is a powerful means to solve various practical problems. The linear equation of one variable has a wide application and an important position in mathematics, and is widely used to solve various practical problems.
2. One-dimensional linear equations also play an important role in solving problems in daily life. For example, when shopping, we often need to compare the prices of different commodities, and then we can use a linear equation to help us make the most economical choice. Suppose there are two supermarkets whose commodity prices are different. We can compare their prices by establishing a linear equation.
3. One-dimensional linear equations also play a key role in solving some more complicated mathematical problems. For example, when solving some algebraic problems, we may need to use a linear equation to find the value of the unknown quantity. We can easily solve this kind of problem by establishing a linear equation and solving it.
4. The application of linear equation in mathematics is not only extensive, but also in-depth. It is not only widely used to solve various practical problems, but also plays a key role in solving some more complicated mathematical problems. Because of its simple form and wide application, linear equation has become an indispensable part of mathematics.
In the field of education, students need to master how to establish and solve linear equations with one variable, which can not only help them solve various practical problems, but also cultivate their logical thinking and reasoning ability. Therefore, in the teaching of linear equation, teachers need to focus on cultivating students' thinking ability and problem-solving ability, not just teaching formulas and skills.