which equation is correctly rewritten to solve for $x$?

\qx + p = r\

* $x = \frac{r - p}{q}$
* $x = \frac{p + r}{q}$
* $x = \frac{p - r}{-q}$
* $x = \frac{p + r}{-q}$

Question

which equation is correctly rewritten to solve for $x$?

\qx + p = r\

* $x = \frac{r - p}{q}$
* $x = \frac{p + r}{q}$
* $x = \frac{p - r}{-q}$
* $x = \frac{p + r}{-q}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Equations", "Properties of Equality" ], "new_concepts": [ "Literal Equations" ], "current_concepts": [ "Solving Linear Equations", "Properties of Equality", "Literal Equations" ] } ## Isolate the term containing x $$ \begin{aligned} -qx + p &= r \ -qx &= r - p \end{aligned} $$ ## Solve for x by dividing by -q $$ \begin{aligned} x &= \frac{r - p}{-q} \end{aligned} $$

(A) $x = \frac{r - p}{-q}$

(B) $x = \frac{p + r}{q}$

(C) $x = \frac{p - r}{-q}$

(D) $x = \frac{p + r}{-q}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Literal Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the term containing x

Solve for x by dividing by -q

Answer: