Linear systems workspace

Simultaneous Equations Solver

Solve two linear equations in x and y, with classification, steps, and a graph.

Equations

1 x + y =
2 x + y =

Use standard form ax + by = c. Integers, decimals, and fractions like -3/4 are accepted.

Try an example
Ready
Enter coefficients and press Solve

The app accepts decimal or integer coefficients in the form ax + by = c.

Determinant --
Verification --

What the Result Means

  • One solution means the two lines meet at one point.
  • Infinite solutions means both equations describe the same line.
  • No solution means the lines are parallel or the system is inconsistent.

Methods Used

Auto mode chooses a reliable step method for the entered system. You can also view Cramer's rule, elimination, or substitution steps for a unique 2-variable solution.

Common Mistakes

  • Move all variable terms to the left side before entering coefficients.
  • Use negative signs carefully when the equation contains subtraction.
  • Use 0 for a missing x or y term.