what is the solution to the system of equations?

$y = 1.5x - 4$

$y = -x$

$\bigcirc\ (-1.6, 1.6)$
$\bigcirc\ (-1.5, 1.5)$
$\bigcirc\ (1.5, -1.5)$
$\bigcirc\ (1.6, -1.6)$

Question

what is the solution to the system of equations?

$y = 1.5x - 4$

$y = -x$

$\bigcirc\ (-1.6, 1.6)$
$\bigcirc\ (-1.5, 1.5)$
$\bigcirc\ (1.5, -1.5)$
$\bigcirc\ (1.6, -1.6)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Systems of Linear Equations", "Substitution Method" ], "current_concepts": [ "Systems of Linear Equations", "Substitution Method" ] } ## Equate the expressions for y $$ 1.5x - 4 = -x $$ ## Solve for x $$ \begin{aligned} 2.5x &= 4 \ x &= \frac{4}{2.5} \ x &= 1.6 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= -x \ y &= -1.6 \end{aligned} $$

(-1.6, 1.6)

(-1.5, 1.5)

(1.5, -1.5)

(1.6, -1.6)

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Equate the expressions for y

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