Question

How many solutions are there in the equation 9x+27=9(x+2)+9

Answer 1

9x + 27= 9x + 18+9

9x + 27 = 9x +27

0=0

Answer 2

Well, let's see what we can simplify the equation to. From here we should be able to determine how many solutions there are.

`9x + 27 = 9(x + 2) + 9`

`9x + 27 = 9x + 18 + 9`

• Apply the distributive property

`9x + 27 = 9x + 27`

• Add like terms

We see that both sides of the equation are the same. When this happens, we can say that there are an infinite amount of solutions because you can substitute in any real value for
`x` and the sides of the equation will equal each other.