7) $\frac{x}{4} + \frac{x}{9} = 180$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [ "Fractional Equations" ], "current_concepts": [ "Linear Equations", "Fractional Equations" ] } ## Find a common denominator to combine the fractions $$ \begin{aligned} \frac{x}{4} + \frac{x}{9} &= 180 \ \frac{9x}{36} + \frac{4x}{36} &= 180 \ \frac{13x}{36} &= 180 \end{aligned} $$ ## Solve for x by multiplying both sides by 36 $$ \begin{aligned} 13x &= 180 \times 36 \ 13x &= 6480 \end{aligned} $$ ## Divide by 13 to isolate x $$ x = \frac{6480}{13} $$ $x = \frac{6480}{13}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Find a common denominator to combine the fractions

Solve for x by multiplying both sides by 36

Divide by 13 to isolate x

Answer: