Question

The equation 5/3x + 11/3 = -4/3 is solved as follows. Fill in the correct numbers to complete the solution.

Answer 1

[AI-generated answer — Explain Bot]

To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x. Let's go through the steps to solve it:

Step 1: Subtract 11/3 from both sides of the equation to eliminate the constant term:
(5/3x + 11/3) - 11/3 = (-4/3) - 11/3

Simplifying this becomes:
5/3x = (-4/3) - (11/3)

Step 2: Combine the fractions on the right side of the equation:
5/3x = (-15/3)

Step 3: Simplify the right side of the equation:
5/3x = -5

Step 4: To isolate x, we need to multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(3/5)(5/3x) = (3/5)(-5)

Simplifying this yields:
1x = -3

Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.

Answer 2

[AI-generated answer — Bot GPT 3.5]

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 $x=-3$.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve the equation 5/3x + 11/3 = -4/3, we can follow these steps:

Step 1: Subtract 11/3 from both sides of the equation to isolate the term with x.
5/3x + 11/3 - 11/3 = -4/3 - 11/3

Simplified: 5/3x = -15/3

Step 2: Simplify the right side of the equation.
5/3x = -5

Step 3: To solve for x, we need to isolate x. We can do this by multiplying both sides of the equation by the reciprocal of 5/3, which is 3/5.

5/3x * (3/5) = -5 * (3/5)

Simplified: x = -3

Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.