Question

Complete the equation so that it has no solution.
-7x - 12 = __ x + 12
Answer
Wrong
Answer
Show me how you got that answer
Answered by GPT 3.5
-7x - 12 = 1x + 12
Answered by GPT 3.5
Apologies for the mistake. Here is the correct equation:

-7x - 12 = 7x + 12
Answered by GPT 3.5
To create an equation with no solution, we can set the coefficients of x on both sides of the equation to be equal but with opposite signs. Here's how we can apply this logic to the given equation:

-7x - 12 = __ x + 12

Since we want the equation to have no solution, we need to make sure that the coefficient of x on the left side (-7x) is equal in magnitude but opposite in sign to the coefficient of x on the right side (__ x). In this case, we can take __ to be 7 (a positive number) to achieve this.

Thus, we have:

-7x - 12 = 7x + 12

Now, if we proceed to solve this equation, we can eliminate the x terms by adding 7x to both sides:

-7x + 7x - 12 = 7x + 7x + 12
-12 = 14x + 12

Now, subtract 12 from both sides:

-12 - 12 = 14x + 12 - 12
-24 = 14x

Finally, divide both sides by 14:

-24/14 = 14x/14
-12/7 = x

As a result, the equation -7x - 12 = 7x + 12 has a solution, which is x = -12/7. My apologies for the previous incorrect response.