If , what is t in terms of u ?

Choice D is correct. Multiplying both sides of the given equation by $t minus 2$ yields $open parenthesis, t minus 2, close parenthesis, times, open parenthesis, u minus 3, close parenthesis, equals 6$ . Dividing both sides of this equation by $u minus 3$ yields $t minus 2, equals, the fraction with numerator 6, and denominator u minus 3, end fraction$ . Adding 2 to both sides of this equation yields $t equals, the fraction with numerator 6, and denominator u minus 3, end fraction, plus 2$ , which can be rewritten as $t equals, the fraction with numerator 6, and denominator u minus 3, end fraction, plus, the fraction with numerator 2 times, open parenthesis, u minus 3, close parenthesis, and denominator u minus 3, end fraction$ . Since the fractions on the right-hand side of this equation have a common denominator, adding the fractions yields $t equals, the fraction with numerator 6 plus 2, times, open parenthesis, u minus 3, close parenthesis, and denominator u minus 3, end fraction$ . Applying the distributive property to the numerator on the right-hand side of this equation yields $t equals, the fraction with numerator 6 plus 2 u, minus 6, and denominator u minus 3, end fraction$ , which is equivalent to $t equals, the fraction with numerator 2 u, and denominator u minus 3, end fraction$ .

Choices A, B, and C are incorrect and may result from various misconceptions or miscalculations.

Question if-wha

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