Substitution Method Calculator

Substitution Method Calculator

Solve a 2x2 system of linear equations using substitution-style step logic.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Solve one equation for one variable.
Substitute that expression into the other equation.
Solve for the remaining variable.
Substitute back to find the first variable.
Solution
x = 1.5000, y = -0.5000

What Is The Substitution Method?

The substitution method solves one equation for one variable and plugs that expression into the other equation.

How To Use The Substitution Method

  1. Solve one equation for one variable.
  2. Substitute that expression into the other equation.
  3. Solve for the remaining variable.
  4. Substitute back to find the first variable.

Frequently Asked Questions

When does substitution work?

It works well when one equation is easy to isolate.

What if there is no unique solution?

The equations may be parallel or dependent, which means the system does not have one unique answer.

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