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How to write code to solve any linear equation in Python

2025-03-26 Update From: SLTechnology News&Howtos shulou NAV: SLTechnology News&Howtos > Development >

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This article mainly introduces "how to write code to solve any linear equation in Python". In daily operation, I believe many people have doubts about how to write code to solve any linear equation in Python. Xiaobian consulted all kinds of materials and sorted out simple and easy-to-use methods of operation. I hope it will be helpful for you to answer the doubt of "how to write code to solve any linear equation in Python". Next, please follow the editor to study!

The technique of solving any linear equation in a three-line function can even be rewritten in two lines of code. Don't you want to know? As far as I know, this is the most effective way to solve the linear equation in Python.

Defsolve_linear (equation,var='x'): expression = equation.replace ("=", "- (") + ")" grouped = eval (expression.replace (var,'1j')) return-grouped.real/grouped.imag

This is an example of a standard algebraic process, and the answer is finally obtained.

How does it work? First define a linear equation that must be solvable in pure form. This means that it can only have one variable, which is usually written as x. The binary equation needs to solve multiple linear equations (equations).

A linear equation consists of three main parts: constants, variables and multipliers.

Whether it is a combination of equations or operations (addition, subtraction, multiplication and division), it is valid in parentheses. As long as these definitions of linear equations are followed, they can be solved by functions.

Then decompose the function step by step, using the following demonstration of the linear equation as an example.

Move the entire expression to the right of the equation in the first line to the left, and convert the equation to an expression that requires a value.

Expression= equation.replace ("=", "- (") + ")"

The demonstration in IDE is as follows:

All "variables" in the equation have been moved to one side, there are no variables after the equal sign, and the expression is equal to 0.

Evaluate the value of the new expression in the second line of code, expressed as ax + b = 0. Use Python's built-in plural processing, where j represents the mathematical constant I = √-1.

Grouped= eval (expression.replace (var,'1j'))

Notice that var is specified as x when the function is initialized.

The eval function has an expression. Two types of expression elements, variables and constants, are evaluated separately by replacing the unknown variable XJO Python with the known j (I). When evaluating an expression, the answer is a * j + b _ j Python determines that this is a plural. Because j is used instead of x, the result is a simplified and easy-to-solve linear equation.

First, in the demonstration workflow of eval (), it can receive any Python command given in the string:

Therefore, mathematical expressions are treated in the same way as any Python expression. The uniqueness of eval () is that instead of performing heavy work manually, it takes advantage of Python's string processing.

Python will think that x is actually an I automatic evaluation string, which is the same as in the following figure:

Finally, the simplified form ax + b = 0 is obtained. Through standard and simple algebraic operations, it is found that x is equal to-b / a, or by creating a complex number, the negative part of the real number (9 in the example above) divided by the imaginary multiplier (1 in the example above).

Return-grouped.real/grouped.imag

In the last line of code, you simply return this algebraic step by returning the negative part of the real part of the complex number divided by the imaginary part.

By manipulating and taking advantage of Python's built-in mathematical evaluation, these three-line functions can handle any linear equation, regardless of its length or complexity.

At this point, the study of "how to write code to solve any linear equation in Python" is over. I hope to be able to solve your doubts. The collocation of theory and practice can better help you learn, go and try it! If you want to continue to learn more related knowledge, please continue to follow the website, the editor will continue to work hard to bring you more practical articles!

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