Question

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​

Answer 1

`\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}`