Elimination Method Calculator (2×2)
The Elimination Method Calculator solves a 2×2 system of linear equations for x and y. Enter the coefficients and constants for both equations.
Formula
Eliminate one variable, solve for the other, then back-substitute
- Multiply equations so one variable cancels when added or subtracted.
- The unique solution exists when the lines are not parallel.
3x + 2y = 16, x − y = 2
Inputs
- a₁₁: 3
- a₁₂: 2
- b₁: 16
- a₂₁: 1
- a₂₂: -1
- b₂: 2
Solving gives x = 4 and y = 2.
Frequently asked questions
How does elimination work?
You add or subtract multiples of the equations to cancel one variable, solve for the remaining one, then substitute back.