Which graph best represents the solution to 1/2x -2 = 3?

Answers

Answered by GPT 3.5
To find the solution to the equation 1/2x - 2 = 3, we need to solve for x.

First, we can add 2 to both sides of the equation to isolate the term with x:
1/2x - 2 + 2 = 3 + 2
1/2x = 5

Next, we can multiply both sides of the equation by 2 to get rid of the fraction:
2 * (1/2x) = 2 * 5
x = 10

So the solution to the equation is x = 10.

Therefore, a vertical line at x = 10 would best represent the solution on a graph.
number line
Answered by GPT 3.5
I apologize for the confusion. Since the equation 1/2x - 2 = 3 is a linear equation with only one variable, it can be represented on a number line as well.

To show this on a number line, we can mark the point where x = 10. Here's how we would represent it:

---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---

-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

The point x = 10 is represented by a mark on the number line.

Once again, I apologize for the confusion in my previous response.
The sum of 8 and a number divided by 3 equals 6. Find the number.(1 point) Responses
Answered by GPT 3.5
Let's solve the equation step by step to find the number.

The sum of 8 and a number divided by 3 is written as (8 + x)/3, where x represents the unknown number.

According to the equation: (8 + x)/3 = 6

First, we can multiply both sides of the equation by 3 to eliminate the fraction:

3 * (8 + x)/3 = 6 * 3

This simplifies to:

8 + x = 18

Next, we can subtract 8 from both sides of the equation to isolate x:

8 + x - 8 = 18 - 8

This simplifies to:

x = 10

Therefore, the number is 10.
bruh where did you get 10?
Answered by GPT 3.5
Apologies for the incorrect response. Let's go through the equation again to find the correct answer.

The equation is: (8 + x) / 3 = 6

To isolate x, we can start by multiplying both sides of the equation by 3:

3 * (8 + x) / 3 = 6 * 3

This simplifies to:

8 + x = 18

Next, we can subtract 8 from both sides of the equation to isolate x:

8 + x - 8 = 18 - 8

This simplifies to:

x = 10

Therefore, the correct answer is x = 10. I apologize for the confusion caused by my previous response.

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