Question

The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)

5/3x+11/3=−4/3
5/3x=____ Subtract 11/3 from both sides.
x=____ Multiply both sides by 3/5, the reciprocal of 5/3

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

5/3x = -4/3 - 11/3
5/3x = -15/3
x = (-15/3) * (3/5)
x = -15/5
x = -3/1
x = -3

Answer 2

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

To solve the equation, let's follow the steps given:

1. 5/3x + 11/3 = -4/3
2. Subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
5/3x = -15/3
3. Simplify:
5/3x = -5
4. Multiply both sides by the reciprocal of 5/3, which is 3/5:
x = (-5)(3/5)
5. Simplify:
x = -15/5
6. x = -3

So the solution to the equation is:
x = -3

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x. The following steps show how to solve the equation:

Step 1: Start with the equation 5/3x + 11/3 = -4/3
Step 2: Subtract 11/3 from both sides of the equation:
5/3x = -4/3 - 11/3
Simplifying the right side:
5/3x = -15/3
Step 3: Simplify the right side of the equation:
5/3x = -5
Step 4: To isolate x, we need to get rid of the fraction on the left side of the equation. Since 5/3 is multiplied with x, we can cancel it out by multiplying both sides of the equation by its reciprocal, which is 3/5:
(5/3x) * (3/5) = -5 * (3/5)
Simplifying both sides:
(15/15)x = -15/5
x = -3

So, the completed solution is:
5/3x + 11/3 = -4/3
5/3x = -15/3
x = -3 * (3/5)
x = -3

Therefore, the missing numbers in the solution are -15/3 and (3/5).