Question

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

5/3x = ?

x= -3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we need to isolate the variable x.

Starting with the equation:
5/3x + 11/3 = -4/3

Subtracting 11/3 on both sides:
5/3x = -15/3 - 11/3
5/3x = -26/3

Dividing both sides by 5/3:
x = (-26/3) / (5/3)

To divide fractions, we multiply by the reciprocal of the denominator:
x = (-26/3) * (3/5)
x = -26/5

So, the solution to the equation is x = -26/5.

Answer 2

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

To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x.

First, let's subtract 11/3 from both sides of the equation:

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

Simplifying this, we get:

5/3x = -15/3

Next, let's simplify the right side of the equation:

5/3x = -5

Now, to solve for 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, we get:

1x = -3

Therefore, the solution to the equation is x = -3.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation, we need to isolate the variable x on one side. Let's break down the steps:

1. Start with the given equation: 5/(3x) + 11/3 = -4/3.

2. To eliminate the fraction with x in the denominator (3x), we can multiply both sides of the equation by 3x. This will result in:

(3x) * 5/(3x) + (3x) * 11/3 = (3x) * (-4/3).

Simplifying:

5 + (11/3) * 3x = -4x.

3. Distribute the multiplication: (11/3) * 3x = 11x, and (-4/3) * (3x) = -4x.

So the equation becomes:

5 + 11x = -4x.

4. Now, let's isolate the x terms by moving the -4x to the other side of the equation:

5 + 11x + 4x = 0.

Combine like terms:

15x + 5 = 0.

5. Next, subtract 5 from both sides of the equation:

15x = -5.

6. Finally, divide each side of the equation by 15 to solve for x:

x = (-5)/15.

Simplifying:

x = -1/3.

Thus, the solution to the equation is x = -1/3.