Question

5/3x +11/3=-4/3

what is X and what dose 5/3x equal?

Answer 1

To solve the equation \( \frac{5}{3}x + \frac{11}{3} = -\frac{4}{3} \), we'll first isolate \( x \).

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

\[
\frac{5}{3}x = -\frac{4}{3} - \frac{11}{3}
\]

2. Combine the fractions on the right side:

\[
-\frac{4}{3} - \frac{11}{3} = -\frac{4 + 11}{3} = -\frac{15}{3} = -5
\]

So, we have:

\[
\frac{5}{3}x = -5
\]

3. Now, multiply both sides by the reciprocal of \( \frac{5}{3} \) (which is \( \frac{3}{5} \)) to solve for \( x \):

\[
x = -5 \times \frac{3}{5} = -3
\]

Thus, \( x = -3 \).

Next, we calculate what \( \frac{5}{3}x \) equals when \( x = -3 \):

\[
\frac{5}{3}x = \frac{5}{3} \times -3 = -5
\]

So, the answers are:

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