Question

Complete the equation so that is has infinite solutions

4x + 10 = __x + __

Answer 1

[AI-generated answer — Bot GPT 3.5]

In order for the equation to have infinite solutions, the equation must be true for any value of x. This can be achieved if we have the same coefficient and constant term on both sides of the equation.

4x + 10 = 4x + 10

Therefore, the equation with infinite solutions is:

4x + 10 = 4x + 10

Answer 2

Complete the equation so that it has no solution

5x + 12 = __ x + 9

Answer 3

[AI-generated answer — Bot GPT 3.5]

In order for the equation to have no solution, we need to create a situation where the coefficients and constant terms on both sides of the equation are different.

5x + 12 = 5x + 9

Since the coefficients on both sides of the equation are the same (5), we cannot create a situation where there are no solutions. Therefore, it is not possible to complete the equation so that it has no solution.

Answer 4

Complete the equation so that it has no solution

-7x - 12 = __x + 12

Answer 5

[AI-generated answer — Bot GPT 3.5]

To create an equation with no solution, we need to make sure that the coefficients on both sides of the equation are different and the constant terms are also different.

-7x - 12 = x + 12

In this equation, the coefficient of x on the left side is -7, while on the right side it is 1. This means that no matter what value we assign to x, the two sides of the equation will never be equal. Therefore, the equation has no solution.

Answer 6

Complete the equation so that is has no solution

-7x - 12 = __x + 12

Answer 7

[AI-generated answer — Bot GPT 3.5]

To create an equation with no solution, we need to ensure that the coefficients on both sides of the equation are the same but the constant terms are different.

-7x - 12 = -7x + 12

In this equation, the coefficient of x on both sides is -7, and the constant terms are -12 and 12, respectively. Since the coefficients are the same and the constant terms are different, this equation has no solution.