current objective
solve a rational equation for a specific variable

question
solve $\frac{x + 5}{2 - y} = \frac{1}{3}$ for $y$.

provide your answer below:
$y = $

Question

current objective
solve a rational equation for a specific variable

question
solve $\frac{x + 5}{2 - y} = \frac{1}{3}$ for $y$.

provide your answer below:
$y = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Rational Equations", "Literal Equations" ], "new_concepts": [], "current_concepts": [ "Solving Rational Equations", "Literal Equations" ] } ## Clear fractions by cross-multiplying $$ 3(x + 5) = 1(2 - y) $$ ## Expand and isolate the term with y $$ \begin{aligned} 3x + 15 &= 2 - y \ y + 3x + 15 &= 2 \ y &= 2 - 3x - 15 \end{aligned} $$ ## Simplify the expression $$ y = -3x - 13 $$ Solve $\frac{x + 5}{2 - y} = \frac{1}{3}$ for $y$. $y =$ $-3x - 13$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Literal Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Clear fractions by cross-multiplying

Expand and isolate the term with y

Simplify the expression

Answer: