home work

$x+y=3$

$x-y=9$

what is $x \cdot y$?

Question

home work

$x+y=3$

$x-y=9$

what is $x \cdot y$?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "System of Equations", "Elimination Method" ], "new_concepts": [], "current_concepts": [ "System of Equations", "Elimination Method", "Algebraic Substitution" ] } ## Somar as duas equações do sistema $$ \begin{aligned} (x + y) + (x - y) &= 3 + 9 \ 2x &= 12 \ x &= 6 \end{aligned} $$ ## Substituir o valor de x para encontrar y $$ \begin{aligned} 6 + y &= 3 \ y &= 3 - 6 \ y &= -3 \end{aligned} $$ ## Calcular o produto de x por y $$ \begin{aligned} x \cdot y &= 6 \cdot (-3) \ x \cdot y &= -18 \end{aligned} $$ $x \cdot y = -18$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "System of Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Somar as duas equações do sistema

Substituir o valor de x para encontrar y

Calcular o produto de x por y

Answer: