Elimination Method Calculator - Multi-Tools

Elimination Method Calculator

ax + by = c
dx + ey = f

First Equation

a:

b:

c:

Second Equation

d:

e:

f:

How to Use

Enter the coefficients a, b, c for the first equation
Enter the coefficients d, e, f for the second equation
Click "Solve by Elimination" to see the step-by-step solution
View the final solution for x and y

About the Elimination Method

The elimination method is used to solve systems of linear equations by:

Multiplying one or both equations by constants to make coefficients of one variable equal
Adding or subtracting the equations to eliminate one variable
Solving for the remaining variable
Substituting back to find the other variable

The system must be consistent and independent for a unique solution.

Common Examples

System	Solution
2x + y = 5 x - y = 1	x = 2, y = 1
3x + 2y = 8 2x - y = 3	x = 2, y = 1
x + y = 4 x - y = 2	x = 3, y = 1

Applications

Solving real-world problems with two variables
Economics and business analysis
Physics and engineering calculations
Mathematical modeling
Optimization problems

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