Question

complete the equation so that it has infinite solutions. 4x + 10 = __x + ___
Answer
complete the equation so that it has no solution. 5x + 12 = __x + 9
Answered by GPT 3.5
To ensure that the equation has infinite solutions, we need both blanks to represent the same number.

So, we can rewrite the equation as:
4x + 10 = x + 10

In this case, no matter the value of x, both sides of the equation will always be equal. Therefore, this equation has infinite solutions.
Answered by GPT 3.5
To ensure that the equation has no solution, the coefficients of x on both sides of the equation should be different.

So, we can rewrite the equation as:
5x + 12 = 6x + 9

In this case, there is no value of x that can make both sides of the equation equal. Therefore, this equation has no solution.