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 x2 or y 2 term. This can be solved using substitution
y = x2 – 2x – 7
x – y = -3

A-Level:
Solving Non-Linear Simultaneous Equations: (Substitution is key)
X – 2y = 1
X2 + y2 = 13

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