Question

Solve for x

to determine if the equation has one, none, or infinite solutions.

9(x+1)=3(5x+1)−12

Responses

A. The equation has one solution: x=3

B. The equation has one solution: x=0

C. The equation has no solution.

D. The equation has infinite solutions.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we will first simplify both sides:

9(x + 1) = 3(5x + 1) - 12

Expanding both sides:
9x + 9 = 15x + 3 - 12

Combining like terms:
9x + 9 = 15x - 9

Now, let's isolate the x term on one side:

9x - 15x = -9 - 9

-6x = -18

Dividing both sides by -6:
x = 3

So, the equation has one solution: x = 3.

Therefore, the correct answer is:

A. The equation has one solution: x = 3

Answer 2

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

To determine if the equation has one, none, or infinite solutions, we can simplify it step-by-step:

9(x+1) = 3(5x+1) - 12

First, let's simplify the expressions inside the parentheses:

9x + 9 = 15x + 3 - 12

Now, let's combine like terms on both sides of the equation:

9x + 9 = 15x - 9

Next, we can rearrange the equation by isolating the variable terms on one side:

9x - 15x = -9 - 9

Simplifying further:

-6x = -18

To solve for x, divide both sides of the equation by -6:

x = -18 / -6

Simplifying the expression:

x = 3

So, the equation has one solution: x = 3.

Therefore, the correct response is A. The equation has one solution: x = 3.