SOLUTION: how do you prove your solution is correct in a linear equaton?

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Question 447336: how do you prove your solution is correct in a linear equaton?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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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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