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.