System of Equations Solver
A system of equations is a set of equations you solve together. The solution must satisfy every equation.
A linear system asks for the intersection of two lines. Unique, none, or infinitely many solutions are all possible.
Solve a problem
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Example problems
How this solver works
- Read two equations.
- Apply elimination (Cramer's rule for two variables).
- Report if the determinant is zero.
Formula
Cramer's rule when the coefficient determinant D is nonzero.
Worked examples
x+y=5, x-y=1
- Add: 2x=6
- x=3, y=2
Answer: x = 3, y = 2
Common mistakes
Mixing up coefficients
Write both equations in ax + by = c form before eliminating.
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Frequently asked questions
How do I enter two equations?
Put a semicolon between them, or use two lines.