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System of Equations Solver

Solve systems of two linear equations in two variables:

a₁x + b₁y = c₁
a₂x + b₂y = c₂

Solution

How to Solve 2x2 Linear Systems

Use Cramer's Rule:
x = (c₁b₂ - c₂b₁) / (a₁b₂ - a₂b₁)
y = (a₁c₂ - a₂c₁) / (a₁b₂ - a₂b₁)