Question

How many solutions does the following equation have? −9(x+6)=−9x−108

a. Infinitely Many
b. One
c. None
d. Cannot be determined

Answer 1

The equation −9(x+6)=−9x−108 has no solutions.

Step-by-step explanation:

To solve the equation −9(x+6)=−9x−108, we can simplify and solve for x:

Distribute -9:

−9x − 54 = −9x − 108

Cancel out the −9x terms on both sides:

−54 = −108

Since −54 is not equal to −108, there are no solutions to the equation. Therefore, the correct answer is c. None.