Question

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

Answer 1

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