Math Playground
Algebra

Systems of equations

Two equations, two unknowns — substitute, eliminate, or matrix-solve.

Two or more equations sharing variables. Solve all of them at once.

Three methods

  • Substitution — solve one for a variable, sub into the other.
  • Elimination — add or subtract equations to cancel a variable.
  • Matrix — write Ax = b, multiply by A⁻¹.
Try it

x + y = 5, x − y = 1

Add: 2x = 6, x = 3. Then y = 2.