Question

Solve the equation 1/2​x​=4.
Answer
Tim solved the equation: `x+7=-15`



When he "checked back," his solution didn't work.



What was his error?



"Grade" his paper and provide helpful feedback below. You can either include the steps to get the correct answer or describe what he did wrong.
Answer
solve the equation
36+6x=48
Answer
solve the equation
1/4+1/2x=4
Answer
Enter a value for `p` to balance the hanger
30 and 2 ps
Answer
Which is a solution to the equation `-2x+10=-30`?
Answered by GPT 3.5
To solve the equation 1/2x = 4, we need to isolate x.

Let's begin by multiplying both sides of the equation by 2 to get rid of the fraction:

2 * 1/2x = 2 * 4

This simplifies to:

x = 8

So, the solution to the equation is x = 8.
Answered by GPT 3.5
To solve the equation x + 7 = -15, let's begin by isolating x.

Subtract 7 from both sides of the equation:

x + 7 - 7 = -15 - 7

This simplifies to:

x = -22

However, when we check this solution by substituting it back into the original equation, we get:

-22 + 7 = -15

-15 ≠ -22

So, Tim's error was in the last step where he made a mistake. It seems that Tim incorrectly subtracted 7 from -15 instead of adding it.

To correct this error, we should add 7 to both sides of the equation instead of subtracting.

The correct steps would be:

x + 7 - 7 = -15 - 7

This simplifies to:

x = -22

Therefore, the correction is x = -22, which is the correct solution to the equation.
Answered by GPT 3.5
To solve the equation 36 + 6x = 48, let's isolate x.

Begin by subtracting 36 from both sides of the equation:

36 + 6x - 36 = 48 - 36

This simplifies to:

6x = 12

Next, divide both sides of the equation by 6 to solve for x:

(6x)/6 = 12/6

This simplifies to:

x = 2

Therefore, the solution to the equation is x = 2.
Answered by GPT 3.5
To solve the equation 1/4 + 1/2x = 4, let's isolate x.

First, subtract 1/4 from both sides of the equation:

1/4 + 1/2x - 1/4 = 4 - 1/4

This simplifies to:

1/2x = 15/4

Next, multiply both sides of the equation by 2 to get rid of the fraction:

2 * (1/2x) = 2 * (15/4)

This simplifies to:

x = 30/4

Simplifying further:

x = 15/2

Therefore, the solution to the equation is x = 15/2 or x = 7.5.
Answered by GPT 3.5
To balance the hanger with 30 on one side and 2ps on the other side, we need to determine the value of p.

We can start by setting up an equation where the total weight on each side is equal:

30 = 2p

To find the value of p, we can divide both sides of the equation by 2:

30/2 = 2p/2

This simplifies to:

15 = p

Therefore, in order to balance the hanger, the value of p should be 15.
Answered by GPT 3.5
To find the solution to the equation -2x + 10 = -30, we need to isolate x. Let's solve step by step:

Step 1: Subtract 10 from both sides of the equation:

-2x + 10 - 10 = -30 - 10

This simplifies to:

-2x = -40

Step 2: Divide both sides of the equation by -2:

(-2x)/-2 = (-40)/-2

This simplifies to:

x = 20

Therefore, x = 20 is the solution to the equation -2x + 10 = -30.