Solving Linear Equations | 解一元一次方程

📚 Solving Linear Equations | 解一元一次方程

Linear equations are one of the most important building blocks in KS3 mathematics. They appear in Cambridge Lower Secondary Checkpoint tests and are essential for later topics such as straight-line graphs, sequences and inequalities.

一元一次方程是 KS3 数学中最重要的基础内容之一。它们出现在剑桥初中 Checkpoint 考试中，也是后续直线图像、数列和不等式等内容的重要基础。

1. What is a Linear Equation? | 什么是一元一次方程？

A linear equation is an equation in which the unknown value, usually written as x, has an exponent of 1. It can always be rearranged into the form ax + b = c, where a, b and c are numbers and a is not zero.

一元一次方程是指未知数（通常用 x 表示）的指数为 1 的方程。它总可以整理成 ax + b = c 的形式，其中 a、b、c 是常数，且 a 不等于 0。

ax + b = c

For example, 2x + 3 = 11, 5x – 4 = 16 and x/2 + 1 = 6 are all linear equations because the variable x is never squared or cubed.

例如，2x + 3 = 11、5x – 4 = 16 和 x/2 + 1 = 6 都属于一元一次方程，因为未知数 x 没有被平方或立方。

2. The Balancing Method | 天平法

An equation behaves like a balance scale. If you add, subtract, multiply or divide one side, you must do exactly the same to the other side to keep the equality true.

方程就像一架平衡的天平。如果对等号一边进行加、减、

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