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

7 answers

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
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
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?
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.