Algebra & Equations
2×2 Linear System
Solve two equations with Cramer's rule.
Formula
Formula
x = DxD, y = D_yD
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| D | coefficient determinant | computed result | — | result |
| x, y | solution | computed result | — | result |
Try it yourself
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Worked examples
Example 1
Givena₁ = 2, b₁ = 3, c₁ = 8, a₂ = 1, b₂ = -1, c₂ = -1
Result
x
1
y
2
Example 2
Givena₁ = 1, b₁ = 1, c₁ = 10, a₂ = 1, b₂ = -1, c₂ = 2
Result
x
6
y
4