Solving Simultaneous Equations | 解联立方程组

📚 Solving Simultaneous Equations | 解联立方程组

In IGCSE Mathematics, solving simultaneous equations is one of the most frequently tested skills in both Paper 2 and Paper 4. It appears in algebra questions, graph questions, and word problems. Mastering this topic gives you a strong foundation for higher-level mathematics, including coordinate geometry, matrices, and calculus.

在 IGCSE 数学中，解联立方程组是 Paper 2 和 Paper 4 中最常考查的技能之一。它出现在代数题、图像题和应用题中。掌握这一知识点将为你今后学习解析几何、矩阵和微积分等高等数学内容打下坚实基础。

1. What Are Simultaneous Equations? | 什么是联立方程组？

A system of simultaneous equations contains two or more equations that use the same variables. A solution must satisfy every equation in the system at the same time. For two linear equations, the solution is the point where the two straight lines intersect.

联立方程组是包含两个或更多、共享相同变量的方程集合。方程组的解必须同时满足组内的每一个方程。对于两个线性方程，解就是两条直线相交点的坐标。

For example, consider the system below.

例如，考虑下面的方程组。

x + y = 10
x − y = 4

Adding the two equations gives 2x = 14, so x = 7. Substituting back gives y = 3. The solution is x = 7, y = 3.

将两个方程相加得到 2x = 14，因此 x = 7。代回原方程可得 y = 3。解为 x = 7，y = 3。

2. The Elimination Method | 消元法Published by TutorHao | IGCSE Mathematics Revision Series | aleveler.com

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