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Select the correct answer. What is the solution for t in the equation? ⅔t - ⅕t =2 a. t = 6 b. t = 7/30 c. t = 30/7 d. t = ⅔​

Select the correct answer. What is the solution for t in the equation? ⅔t - ⅕t =2 a. t = 6 b. t = 7/30 c. t = 30/7 d. t = ⅔​
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Select the correct answer. What is the solution for t in the equation?

⅔t - ⅕t =2

a. t = 6

b. t = 7/30

c. t = 30/7

d. t = ⅔​

User SteelToe
by
8.5k points

1 Answer

3 votes


\cfrac{2}{3}t-\cfrac{1}{5}t=2\implies \cfrac{2t}{3}-\cfrac{t}{5}=2\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{2t}{3}-\cfrac{t}{5} \right)=15(2)}\implies 10t-3t=30 \\\\\\ 7t=30\implies t=\cfrac{30}{7}

User Mooky
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7.9k points
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