The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)

5/3x+11/3=−4/3
5/3x=
Subtract 11/3 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To solve the equation \( \frac{5}{3}x + \frac{11}{3} = -\frac{4}{3} \):

  1. Start by isolating the term with \( x \): \[ \frac{5}{3}x = -\frac{4}{3} - \frac{11}{3} \] \[ \frac{5}{3}x = -\frac{4 + 11}{3} = -\frac{15}{3} = -5 \]

  2. Now we have: \[ \frac{5}{3}x = -5 \]

  3. Next, multiply both sides by \( \frac{3}{5} \): \[ x = -5 \cdot \frac{3}{5} \] \[ x = -3 \]

So the completed solution is:

  • \( \frac{5}{3}x = -5 \)
  • \( x = -3 \)