System of Two Equations
Solves a system of two linear equations in two unknowns by substitution or elimination.
x
2,20
y
1,20
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Formula
For a₁x + b₁y = c₁, a₂x + b₂y = c₂: x = (c₁b₂ − c₂b₁) / (a₁b₂ − a₂b₁), y = (a₁c₂ − a₂c₁) / (a₁b₂ − a₂b₁)
Example: 2x + y = 5, x − y = 1 → x = 2, y = 1
Methodology
Two linear equations are solved by substitution or elimination.
Example
x + y = 10, x − y = 2 → x = 6, y = 4.