±Free
Two-variable linear system
Solve ax + by = c and dx + ey = f using determinants.
Enter the coefficients and constants from the two displayed equations. The tool computes the determinant ae − bd and applies determinant ratios to return x and y.
How to use
- Enter your text, values, or image.
- Adjust the options and run the tool.
- Copy or download your result.
Worked example
Example input
a: 2 b: 1 c: 5 d: 1 e: -1 f: 1
Example result
{
"x": 2,
"y": 1
}Limitations and details
A zero determinant has no unique solution; nearly singular systems remain subject to floating-point rounding.
Inputs and options
- a
- Number
- b
- Number
- c
- Number
- d
- Number
- e
- Number
- f
- Number
Frequently asked questions
Is this tool free and private?
Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.