Question

White a number in the blank so that the equation will have an infinite number of solutions.

Answer: The equation 3x+5 = 3x- ________ has infinitely many solutions.

Answer 1

-5

Explanation:

3x + 5 = 3x - (-5)

3x + 5 = 3x + 5

Now both sides are identical which means every value of x will satisfy the equation. Hence infinite solutions

Answer 2

-5

Explanation:

The equation 3x+5 = 3x- ________ has infinitely many solutions.

Simplifing these we will get

(-5)

Let's say the blank box is represented by y

3x+5 = 3x-y

3x-3x+5 = -y

5 = -y

Divide both sides by -1

5/-1 = -y/-1

-5 = y