Question

Complete the equation so that it has no solution.(1 point)

5x+12= blank
x+9
solve for the blank

Answer 1

[AI-generated answer — Bot GPT 3.5]

To have no solution, the equation must be a contradiction. In other words, the equation cannot be true for any value of x.

To create a contradiction, we need to make the left side of the equation equal to a different value than the right side.

To do this, we can choose a value for the blank that is not equal to the right side of the equation. Thus, the equation can be:

5x + 12 ≠ x + 9

Answer 2

still wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion.

To have no solution, we need to create an equation where both sides are not equal even if we solve for x.

To achieve this, we can subtract x and 9 from both sides, making the equation:

5x + 12 - x - 9 = 0

Combining like terms, we have:

4x + 3 = 0

To solve for x, we can subtract 3 from both sides and then divide by 4:

4x = -3

x = -3/4

Therefore, the equation that has no solution is:

5x + 12 = x + 9

Answer 4

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

To make the equation have no solution, we need to set up a contradictory equation. Since the given equation is 5x + 12 = blank, we need to choose a value for the blank that would make it impossible for the equation to be true.

To do this, we want to make the x terms disappear from both sides. If we subtract x from both sides, we have:

5x + 12 - x = x + 9 - x
4x + 12 = 9

Now, let's solve for the blank:

4x + 12 = 9
Subtract 12 from both sides:
4x = 9 - 12
4x = -3

Lastly, divide both sides by 4:

4x/4 = -3/4
x = -3/4

So, to make the equation have no solution, the blank would be -3/4.

Answer 5

[AI-generated answer — Explain Bot]

To solve the equation and find the value of the blank that results in no solution, we need to set the equation equal to zero and then simplify it. Here's how:

1. Start with the given equation: 5x + 12 = blank.

2. To create an equation with no solution, we need to eliminate the x term on one side of the equation. We can do this by subtracting x from both sides of the equation. So the equation becomes: 5x + 12 - x = blank - x.

Simplifying the equation: 4x + 12 = blank - x.

3. Now, let's simplify the right side of the equation, blank - x. Since we don't know the value of blank, we cannot simplify it further.

4. At this point, we have the equation 4x + 12 = blank - x.

5. To eliminate the x term, we need the coefficients in front of x to be equal. So, we can multiply the entire equation by -1. This gives us: -1(4x + 12) = -1(blank - x).

Simplifying the equation: -4x - 12 = - blank + x.

6. Now, let's rearrange the terms to get all the variables on one side and the constants on the other. We can do this by adding x to both sides: -4x - x - 12 = -blank + x + x.

Simplifying the equation: -5x - 12 = -blank.

7. Finally, we rewrite the equation in the form blank = -5x - 12.

Therefore, the solution for the blank to make the equation have no solution is blank = -5x - 12.