To solve the equation $\frac{5}{3}x + \frac{11}{3} = -\frac{4}{3}$, we can begin by isolating the variable term by subtracting $\frac{11}{3}$ from both sides of the equation:
\begin{align*}
\frac{5}{3}x + \frac{11}{3} - \frac{11}{3} &= -\frac{4}{3} - \frac{11}{3}\\
\frac{5}{3}x &= -\frac{15}{3}
\end{align*}
Now, we can simplify the right side of the equation by dividing $-\frac{15}{3}$ by $\frac{5}{3}$:
\begin{align*}
\frac{5}{3}x &= -\frac{15}{3}\\
\frac{5}{3}x &= -5
\end{align*}
To solve for $x$, we can multiply both sides of the equation by $\frac{3}{5}$:
\begin{align*}
\frac{5}{3}x \cdot \frac{3}{5} &= -5 \cdot \frac{3}{5}\\
x &= -3
\end{align*}
Therefore, the solution to the equation $\frac{5}{3}x + \frac{11}{3} = -\frac{4}{3}$ is $x=-3$.
The equation 5/3x + 11/3 = -4/3 is solved as follows. Fill in the correct numbers to complete the solution.
1 answer