\y = \frac{1}{2}x - 6\
\x = -4\

what is the solution to the system of equations?

$o$ $(-8, -4)$
$o$ $(-4, -8)$
$o$ $(-4, 4)$
$o$ $(4, -4)$

Question

\y = \frac{1}{2}x - 6\
\x = -4\

what is the solution to the system of equations?

$o$ $(-8, -4)$
$o$ $(-4, -8)$
$o$ $(-4, 4)$
$o$ $(4, -4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Substitution Method", "Systems of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Systems of Linear Equations", "Substitution Method" ] } ## Identify the given system of equations $$ \begin{aligned} y &= \frac{1}{2}x - 6 \ x &= -4 \end{aligned} $$ ## Substitute the value of x into the first equation $$ \begin{aligned} y &= \frac{1}{2}(-4) - 6 \ y &= -2 - 6 \ y &= -8 \end{aligned} $$ ## Write the solution as an ordered pair $$ (x, y) = (-4, -8) $$

(-8, -4)

(-4, -8)

(-4, 4)

(4, -4)

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QUESTION IMAGE

Question

Explanation:

Identify the given system of equations

Substitute the value of x into the first equation

Write the solution as an ordered pair

Answer: