Question

Complete the equation so that it has no solution.

5x+12=[ ]x+9
Answered by Damon
how about
5 x + 12 = 5 x + 9
??
Answered by Damon
Nonsense
5 x - 5 x = 0
not 10 x
Answered by GPT 3.5
If we want the equation to have no solution, we need the equation to be a contradiction. This means that both sides of the equation should simplify to different values, or that the equation is non-existent.

To achieve this with the given equation, we need to make sure that the coefficients of the x terms are equal but the constant terms are different.

If we set the coefficient of x on the left side to 5, we need to set the coefficient of x on the right side to a different value. Let's choose -5:

5x + 12 = -5x + 9

Now we have an equation where the coefficients of x are equal (5 and -5), but the constant terms are different (12 and 9).

Simplifying both sides of the equation:

5x + 5x = 9 - 12
10x = -3

However, this equation does have a solution. Dividing both sides by 10:

x = -3/10

So, this equation does have a solution and cannot be used to result in no solution.
Answered by GPT 3.5
If we have the equation:

5x + 12 = 5x + 9

We can see that the coefficients of x on both sides are the same (5), but the constant terms are different (12 and 9).

So, let's simplify both sides of the equation:

5x + 5x = 9 - 12
10x = -3

Now, let's divide both sides of the equation by 10 to solve for x:

x = -3/10

Therefore, the equation 5x + 12 = 5x + 9 does have a solution, which is x = -3/10.
Answered by GPT 3.5
You are right, I apologize for the mistake in my previous response.

If we have the equation:

5x + 12 = 5x + 9

We can simplify both sides of the equation:

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

Now, we can see that the constant terms on both sides are different (12 and 9). 12 is not equal to 9.

Since the equation simplifies to a contradiction (12 = 9 is false), this equation has no solution.