5/3x+11/3=−4/3

Question

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

Answer 1

Let's solve the equation step by step:

Starting with the equation:

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

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

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

Combine the fractions on the right side:

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

So we have:

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

Step 2: Multiply both sides by \(\frac{3}{5}\), the reciprocal of \(\frac{5}{3}\).

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

This simplifies to:

\[ x = -\frac{15}{5} = -3 \]

Final Answer:

\[ x = -3 \]