× ÷ and full-width Entrada are normalized automatically. Implicit multiplication like 2x or (x+1)(y-1) is supported.
Como usar (3 passos)
- Enter two equations (× and full-width text are OK)
- Choose fraction/decimal display, check, and mode
- Switch views: recommended, elimination, substitution, graph
Examples
Resultado summary
Toda a entrada e a matemática ficam no seu navegador; nada é enviado aos servidores.
Elimination is recommended because coefficients align easily.
See how coefficients are aligned to add/subtract and eliminate a variable.
Isolate the simplest variable, substitute with parentheses, and solve.
If there is an intersection, it is the solution. Parallel lines mean no solution; overlapping lines mean infinitely many solutions.
Check
Perguntas frequentes
Quando devo I pick elimination vs substitution?
If any coefficient is 1 or -1, substitution is simpler. Otherwise, try elimination after aligning coefficients with the least common multiple.
Por que é válido multiplicar as duas equações pelo mesmo número?
Doing so does not change the solution set, so clearing denominators or aligning coefficients keeps the answers intact.
Why must I use parentheses when substituting?
Parentheses prevent sign and distribution mistakes. This tool always inserts them before substitution.
How do you detect no solution or infinite solutions?
When the determinant is zero, mismatched constants imply parallel lines (no solution), while matching ratios imply overlapping lines (infinite solutions). The graph reflects the same classification.
Are fraction and decimal answers exact?
Yes. We keep exact rationals internally. Finite decimals are shown precisely; repeating decimals include an ≈ with limited digits.
Is anything sent to servers?
Não. Só quando você copia uma URL de compartilhamento é que equações e configurações entram na query da URL.
Calculadoras relacionadas
Comentários
Loaded only on demand. Until you click, no external request is made.