Cramer's Rule Calculator - Multi-Tools

Cramer's Rule Calculator

Solve systems of linear equations using Cramer's Rule. Enter coefficients and constants to find the solution.

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How Cramer's Rule Works

Cramer's Rule is a method for solving systems of linear equations using determinants. For a system:

  • a₁x + b₁y = c₁
  • a₂x + b₂y = c₂

The solution is given by:

  • x = |Dx| / |D|
  • y = |Dy| / |D|

Where:

  • |D| is the determinant of the coefficient matrix
  • |Dx| is the determinant with the x-column replaced by constants
  • |Dy| is the determinant with the y-column replaced by constants

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