Solve using inverse operations.

u+11/3 = 1/3



A
−103-\frac{10}{3}−
3
10



B
-4

C
103\frac{10}{3}
3
10



D
4

1 answer

To solve the equation \( u + \frac{11}{3} = \frac{1}{3} \) using inverse operations, we need to isolate \( u \).

  1. Subtract \(\frac{11}{3}\) from both sides:

\[ u + \frac{11}{3} - \frac{11}{3} = \frac{1}{3} - \frac{11}{3} \]

This simplifies to:

\[ u = \frac{1}{3} - \frac{11}{3} \]

  1. Now, we need to perform the subtraction on the right side:

\[ \frac{1}{3} - \frac{11}{3} = \frac{1 - 11}{3} = \frac{-10}{3} \]

So, we have:

\[ u = -\frac{10}{3} \]

Now let's match this solution with the given choices:

A) \(-\frac{10}{3}\)

B) -4

C) \(\frac{10}{3}\)

D) 4

The correct answer is A) \(-\frac{10}{3}\).