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9t+6 ÷t(t+3) = 7÷t +3

Solve proportion

 

 

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Andrew R. | Patient and Knowledgeable Math TutorPatient and Knowledgeable Math Tutor
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9t+6/t(t+3) = 7/(t+3)

(9t+6)(t+3)=7t(t+3)      (Cross multiply the proportion)

9t+6=7t         (divide (t+3) from both sides)

2t+6=0              (subtract 7t from both sides)

2t=-6          (subtract 6 from both sides to solve for t)

t=-3          (answer)

However, notice that when t=-3 the proportion is undefined on both sides, because when t=-3 the denominator is 0.