The correct answer is:
_________________________________________________________
[A]: " -14m − 7m + 1 = -7m + 1 " .
_________________________________________________________
Note: All of the answer choices given contain "ONE" variable, "m".
__________________________________________________________
Among the all the answer choices given (that is, among all the 3 (THREE) answer choices given), this answer choice: "{A}", is the only one which holds true; (that is, maintains a true equation— both sides of the equation are equal—, when "m = 0 ").
__________________________________________________________
Specifically, for "Answer choice: [A]:
____________________________________________
-14m − 7m + 1 = -7m + 1 ;
____________________________________________
When we plug in "0" for all values of "m", both sides of the equation are equal:
____________________________________________
-14*(0) − 7*(0) + 1 =? -7*(0) + 1 ?? ;
__________________________________________________
0 − 0 + 1 = ? 0 + 1 ?
__________________________________________________
1 = 1 ? Yes!
___________________________________________________
Let's try Answer choice: [B] ; which is:
___________________________________________________
"-14m + 7m + 1 = -7m + 2 " ;
________________________________________________________
If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true?
_______________________________________________________
-14*(0) + 7*(0) + 1 = ? -7*(0) + 2 ?? ;
_______________________________________________________
0 + 0 + 1 = ? 0 + 2 ?? ;
_______________________________________________________
1 = ? 2 ??? No! 1 <span>≠ 2 ;
_______________________________________________________
As such, "Answer choice: [B}" does NOT have the solution set: "{0}" ; and is not the correct answer; (and is not a correct answer).
________________________________________________________
Now, let's try the remaining "Answer choice: [C]:"
________________________________________________________
14m − 7m − 1 = -7m + 1 ;
_______________________________________________________
</span> If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true?
________________________________________________________
14*(0) − 7*(0) − 1 = -7*(0) + 1 ;
________________________________________________________
0 − 0 − 1 =? 0 + 1 ?? ;
________________________________________________________
- 1 = ? 1 ??? No! -1 ≠ 1 ! ;
________________________________________________________
As such, "Answer choice: [C]" does NOT have the solution set: "{0}" ;
and is not the correct answer; (and is not a correct answer).
_________________________________________________________
The answer is: [A]: " -14m − 7m + 1 = -7m + 1 " .
_________________________________________________________
_________________________________________________________
[A]: " -14m − 7m + 1 = -7m + 1 " .
_________________________________________________________
Note: All of the answer choices given contain "ONE" variable, "m".
__________________________________________________________
Among the all the answer choices given (that is, among all the 3 (THREE) answer choices given), this answer choice: "{A}", is the only one which holds true; (that is, maintains a true equation— both sides of the equation are equal—, when "m = 0 ").
__________________________________________________________
Specifically, for "Answer choice: [A]:
____________________________________________
-14m − 7m + 1 = -7m + 1 ;
____________________________________________
When we plug in "0" for all values of "m", both sides of the equation are equal:
____________________________________________
-14*(0) − 7*(0) + 1 =? -7*(0) + 1 ?? ;
__________________________________________________
0 − 0 + 1 = ? 0 + 1 ?
__________________________________________________
1 = 1 ? Yes!
___________________________________________________
Let's try Answer choice: [B] ; which is:
___________________________________________________
"-14m + 7m + 1 = -7m + 2 " ;
________________________________________________________
If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true?
_______________________________________________________
-14*(0) + 7*(0) + 1 = ? -7*(0) + 2 ?? ;
_______________________________________________________
0 + 0 + 1 = ? 0 + 2 ?? ;
_______________________________________________________
1 = ? 2 ??? No! 1 <span>≠ 2 ;
_______________________________________________________
As such, "Answer choice: [B}" does NOT have the solution set: "{0}" ; and is not the correct answer; (and is not a correct answer).
________________________________________________________
Now, let's try the remaining "Answer choice: [C]:"
________________________________________________________
14m − 7m − 1 = -7m + 1 ;
_______________________________________________________
</span> If we plug in "0" for ALL values of "m" (both sides, of course), does the equation hold true?
________________________________________________________
14*(0) − 7*(0) − 1 = -7*(0) + 1 ;
________________________________________________________
0 − 0 − 1 =? 0 + 1 ?? ;
________________________________________________________
- 1 = ? 1 ??? No! -1 ≠ 1 ! ;
________________________________________________________
As such, "Answer choice: [C]" does NOT have the solution set: "{0}" ;
and is not the correct answer; (and is not a correct answer).
_________________________________________________________
The answer is: [A]: " -14m − 7m + 1 = -7m + 1 " .
_________________________________________________________
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