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.

Respuesta :

Part A:
[tex]5+x-12=x-7[/tex]
[tex]5+x=x+5[/tex]
[tex]5=5[/tex]

Since we know that, this equation has infinite solutions.

Part B:
[tex]5+(-4)-12=(-4)-7[/tex]
[tex]-11=11[/tex]
- This is with our solution.

[tex]5+0-12=0-7[/tex]
[tex]-7=-7[/tex]
- This is with our solution.

[tex]5+5-12=5-7[/tex]
[tex]-2=-2[/tex]
- This is with our solution.

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