Question 447336
how do you prove your solution is correct in a linear equaton?


Substitute the solution back into the original equation.  If you get a 
true statement, then you do have the correct solution.


Example:
x + 5 = 7
x = 2 {subtracted 5 from both sides}


Substitute back in:
x + 5 = 7
2 + 5 = 7 is a true statement, therefore 2 is the correct solution for x.
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