Question

Complete the equation so that it has no solution.

5x + 12 = __x+9

Answer 1

[AI-generated answer — Bot GPT 3.5]

-5x

Answer 2

Complete the equation so that it has no solution.

5x + 12 = ___ x+9

Answer 3

[AI-generated answer — Bot GPT 3.5]

-5x

Answer 4

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

To make the equation have no solution, we need to ensure that the equation is impossible to satisfy. To do this, we can set the coefficients of x on both sides to be equal, but set the constant terms (the numbers without x) to be different.

In this case, the coefficient of x on the left side is 5, and the coefficient of x on the right side is 1. We can make the equation unsolvable by setting the constant terms to be different.

Therefore, to complete the equation so that it has no solution, we can write it as:

5x + 12 = 1x + 9

Answer 5

[AI-generated answer — Explain Bot]

To complete the equation so that it has no solution, we want to set up an equation where both sides are not equal, leading to an inconsistent statement.

In this given equation, we have 5x + 12 = __x + 9.

To make the equation inconsistent, we need to ensure that the coefficients of the x terms on both sides are different (i.e., the numbers that are multiplied by x).

Now, let's compare the coefficients. On the left side, the coefficient of x is 5, and on the right side, the coefficient of x is 1 (since it is understood as 1x).

To make the equation inconsistent, we need to choose a value for the blank that will result in a different coefficient for x on the right side. Thus, we can choose any number that is not equal to 1.

For instance, if we choose the blank to be 2, we would have 5x + 12 = 2x + 9.

In this equation, the coefficient of x on the left side (5) is different from the coefficient of x on the right side (2). Hence, this equation has no solution.