Solving Linear Equations Step by Step | 逐步解线性方程

📚 Solving Linear Equations Step by Step | 逐步解线性方程

Linear equations are the foundation of algebra at KS3. A linear equation is an equation where the unknown appears only to the power of 1. In this article we will develop a clear method for solving equations like 2x+3=11, 3(x−2)=9 and 5x−2=3x+4.

线性方程是 KS3 代数的基础。线性方程是指未知数只出现一次方的方程。本文将介绍解 2x+3=11、3(x−2)=9 和 5x−2=3x+4 等方程的清晰方法。

You need the balancing method, inverse operations, bracket expansion and fraction clearing. With regular practice, these skills become automatic.

你需要掌握平衡法、逆运算、去括号和消去分数。通过经常练习，这些技能会变得熟练。

1. What Is a Linear Equation? | 什么是线性方程？

A linear equation is an equation in which the unknown letter, usually x, appears only to the first power. Examples include 2x+3=11 and 5x−2=3x+4. Equations such as x²+1=5 or 3x³−2=10 are not linear because the unknown has a power greater than 1.

线性方程是未知字母（通常为 x）只出现一次方的方程。例如 2x+3=11 和 5x−2=3x+4。方程 x²+1=5 或 3x³−2=10 不是线性方程，因为未知数的次数大于 1。

The solution of a linear equation is the value of the unknown that makes

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