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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Sistemas Lineares" ], "new_concepts": [], "current_concepts": [ "Sistemas Lineares" ] } ## Somar as duas equações do sistema $$ \begin{aligned} (x + y) + (x - y) &= 10 + 2 \ 2x &= 12 \ x &= 6 \end{aligned} $$ ## Substituir o valor de x na primeira equação $$ \begin{aligned} 6 + y &= 10 \ y &= 4 \end{aligned} $$ ## Determinar o par ordenado da solução $$ (x, y) = (6, 4) $$

a) $(4, 8)$

b) $(6, 4)$

c) $(5, 5)$

d) $(8, 2)$

e) $(2, 8)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Sistemas Lineares" ] }

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Explanation:

Somar as duas equações do sistema

Substituir o valor de x na primeira equação

Determinar o par ordenado da solução

Answer: