for $-2y-3x=12$ determine the value of $y$ when $x = 0$, and the value of $x$ when $y = 0$. fill in your answers below.

when $x = 0$ then $y = $

when $y = 0$ then $x = $

Question

for $-2y-3x=12$ determine the value of $y$ when $x = 0$, and the value of $x$ when $y = 0$. fill in your answers below.

when $x = 0$ then $y = $

when $y = 0$ then $x = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving for Variables" ], "new_concepts": [ "Linear Intercepts" ], "current_concepts": [ "Solving for Variables", "Linear Intercepts" ] } ## Substitute x = 0 to solve for y $$ \begin{aligned} -2y - 3(0) &= 12 \ -2y &= 12 \ y &= -6 \end{aligned} $$ ## Substitute y = 0 to solve for x $$ \begin{aligned} -2(0) - 3x &= 12 \ -3x &= 12 \ x &= -4 \end{aligned} $$ For $-2y-3x=12$ determine the value of y when x = 0, and the value of x when y = 0. Fill in your answers below. When x = 0 then y = -6 When y = 0 then x = -4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Intercepts" ] }

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Explanation:

Substitute x = 0 to solve for y

Substitute y = 0 to solve for x

Answer: