Simultaneous Equation Solver (2 Variables)

Simultaneous Equation Solver (2 Variables)

Use this solver to find the solution to two linear simultaneous equations in x and y. Enter the coefficients for:

  • a₁x + b₁y = c₁
  • a₂x + b₂y = c₂

Enter your equations

Equation 1:
Equation 2:

Enter values and tap Solve.


How it works (elimination method)

For the system: a₁x + b₁y = c₁ and a₂x + b₂y = c₂

  • Compute the determinant: D = a₁b₂ − a₂b₁
  • If D ≠ 0, there is a unique solution.
  • If D = 0, the lines are parallel (no solution) or the same line (infinitely many solutions).

Disclaimer: This tool is provided for general educational reference only. Results may vary slightly due to rounding or input format. It does not replace professional educational, engineering, or technical advice.