System Of Equations Calculator
Solve a system of two linear equations with two unknowns. Enter coefficients and constants to get the solution (x, y) with step-by-step explanation.
Published by:
isCalculator Editorial Team
Was this calculator helpful?
How to use this tool?
This calculator solves a system of two linear equations with two unknowns (x and y). The equations are in the form:
a₁x + b₁y = c₁ and a₂x + b₂y = c₂
- Enter coefficients for Equation 1 (a₁, b₁, c₁) and Equation 2 (a₂, b₂, c₂) in the input fields. Use decimal numbers if needed.
- Click "Solve" to compute the solution.
- Read the result: The solution displays as
x = valueandy = value, rounded to 4 decimal places. - Review the steps below the result to see the determinant calculation and how x and y were derived.
- If the determinant is zero, the system either has no solution (inconsistent equations) or infinite solutions (dependent equations). An error message will explain which.
- All inputs accept any real number (integers, decimals, negative values).
Special cases:
Previous Results
| Result | Inputs | Date |
|---|
Frequently Asked Questions
A system of equations is a set of two or more equations with the same variables. This calculator solves a system of two linear equations with two unknowns (x and y).
It uses Cramer's rule, which calculates the determinant and then the values of x and y. It also checks for special cases like no solution or infinite solutions.
No, this calculator is designed for exactly two linear equations with two unknowns. For larger systems, other tools may be needed.
