Which of the following is the solution to the equation $$ \frac{u}{3}-5=2 u-4 $$ ? $$ \begin{array}{llll} ext { A. } u=-5 \frac{4}{5} & ext { B. } u=-1 \frac{2}{5} & ext { C. } u=-\frac{3}{5} & ext { D. } u=1 \frac{2}{5}\end{array} $$

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Which of the following is the solution to the equation $$ \frac{u}{3}-5=2 u-4 $$ ? $$ \begin{array}{llll}	ext { A. } u=-5 \frac{4}{5} & 	ext { B. } u=-1 \frac{2}{5} & 	ext { C. } u=-\frac{3}{5} & 	ext { D. } u=1 \frac{2}{5}\end{array} $$

UpStudy AI · Accepted Answer

To solve the equation u/3 - 5 = 2u - 4, follow these steps:

1. Start with the equation:
  u/3 - 5 = 2u - 4

2. Isolate the u terms on one side. To do this, subtract 2u from both sides:
  (u/3) - 2u - 5 = -4

3. Combine the u terms on the left side by finding a common denominator. Write 2u as 6u/3:
  (u/3) - (6u/3) = -5u/3
  So the equation becomes:
  -5u/3 - 5 = -4

4. Next, add 5 to both sides to isolate the u term:
  -5u/3 = 1

5. Multiply both sides by -3/5 to solve for u:
  u = 1 × (-3/5)
  u = -3/5

Thus, the solution to the equation is u = -3/5, which corresponds to option C.
The solution is $$ u = -\frac{3}{5} $$, which is option C.

Which of the following is the solution to the equation ?

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