Question

Given the equation 5 + x - 12 = x - 7. Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work. Part B. Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.

Answer 1

Part A:

`5+x-12=x-7`

`5+x=x+5`

`5=5`

Since we know that, this equation has infinite solutions.

Part B:

`5+(-4)-12=(-4)-7`

`-11=11`
- This is with our solution.


`5+0-12=0-7`

`-7=-7`
- This is with our solution.


`5+5-12=5-7`

`-2=-2`
- This is with our solution.

- So, we just proved that 3 random values work, this means that this equation does indeed have infinite solutions.