Question

2/3n-6= -8

solve with inverse equations

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for n, we can start by isolating the variable on one side of the equation.

Starting with the given equation: 2/3n - 6 = -8

First, let's add 6 to both sides of the equation to eliminate the -6 on the left side:

2/3n - 6 + 6 = -8 + 6
2/3n = -2

Next, we need to get rid of the fraction by multiplying both sides of the equation by its inverse, 3/2:

(3/2)(2/3n) = (3/2)(-2)
1n = -3

Simplifying further:

n = -3

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

Answer 2

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

To solve the equation 2/3n - 6 = -8 using inverse operations, we will isolate the variable "n" step by step.

Step 1: Add 6 to both sides of the equation:
2/3n - 6 + 6 = -8 + 6
2/3n = -2

Step 2: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
(2/3n) * (3/2) = -2 * (3/2)
n = -3

Therefore, the solution to the equation 2/3n - 6 = -8 is n = -3.

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation 2/3n - 6 = -8 using inverse operations, we need to isolate the variable "n" and find its value.

Step 1: Add 6 to both sides of the equation to eliminate the -6 on the left side:
2/3n - 6 + 6 = -8 + 6
This simplifies to:
2/3n = -2

Step 2: Inverse operation of division is multiplication. Multiply both sides of the equation by 3/2 (which is the reciprocal of 2/3) to isolate the variable "n":
(2/3n) * (3/2) = -2 * (3/2)
This becomes:
(2 * 3 * n) / (3 * 2) = -6/2
Simplifying further:
(6n) / 6 = -3

Step 3: Divide both sides of the equation by 6 to get the value of "n":
(6n) / 6 = -3 / 6
This simplifies to:
n = -1/2

Therefore, the solution to the equation 2/3n - 6 = -8 is n = -1/2.