Advanced 2-Variable Equations Solver

a1:

b1:

c1:

a2:

b2:

c2:

Calculate

Example Data Table

a1	b1	c1	a2	b2	c2
2	3	5	1	-1	1

Formula Used

Using Cramer's rule: x = (c1*b2 - c2*b1)/det, y = (a1*c2 - a2*c1)/det, where det = a1*b2 - a2*b1. Ensures correct unique solution.

How to Use

Input coefficients a1, b1, c1, a2, b2, c2. Press 'Calculate' to get x and y values. Download CSV or PDF if needed.

FAQs

Q1: Can it solve equations with zero coefficients?
A1: Yes, as long as determinant is not zero. Unique solution exists.

Q2: Can I download results?
A2: Yes, both CSV and PDF download options are available above the form.

Q3: What if determinant is zero?
A3: No unique solution exists. Check equations for dependency or inconsistency.

Q4: Can it handle decimals?
A4: Yes, any decimal numbers can be entered and computed accurately.

Q5: Is internet required to use?
A5: No, it runs locally on your browser with this PHP script.

Q6: Can I use it on mobile?
A6: Yes, the form layout adjusts to single column for small screens.

Q7: Can it solve more than 2 variables?
A7: No, this calculator is specifically for 2-variable linear equations only.

Q8: Does it show step by step solution?
A8: It calculates the solution directly using the formula for quick results.