GCSE/Simple Overview:

Simultaneous equations have two unknowns. In order to solve these two equations, you need to find the values of these unknowns therefore making the equation true.

Example of a Simple Linear Simultaneous Equation:

3x + y = 20

X + 4y = 14

GCSE/A-Level:

A pair of simultaneous equations can involve a x** ^{2}**
or y

**term. This can be solved using substitution**

^{ 2}y = x** ^{2 }**– 2x – 7

x – y = -3

A-Level:

Solving Non-Linear Simultaneous Equations: (Substitution is key)

X – 2y = 1

X** ^{2}**
+ y

**= 13**

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