He knows he made a mistake so quickly because he substitutes 5 for x in 3x - 7 = x/2
How did he know so quickly that he made a mistake?
The equation is given as:
3x - 7 = x/2 + 9
The solution is given as:
x = 5
To quickly know he made a mistake, we substitute 5 for x in 3x - 7 = x/2 + 9
So, we have
3 * 4 - 7 = 5/2 + 9
Evaluate
12 - 7 = 2.5 + 9
Evaluate the like terms
5 = 11.5
The above equation is false.
Hence, he knows he made a mistake so quickly because he substitute 5 for x in 3x - 7 = x/2
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