Part (a)
Let's replace x with 15 and evaluate to see if he is correct or not.
x/2 - 3 = 6
15/2 - 3 = 6
7.5 - 3 = 6
4.5 = 6
We get a false statement after simplifying everything. We need to get the same number on both sides to get a true statement. Therefore, Ahmed is not correct.
<h3>Answer: No, he is not correct</h3>
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Part (b)
Let's solve for x. We do so by first adding 3 to both sides, and then multiplying both sides by 2. This follows PEMDAS in reverse, undoing everything to isolate the variable.
x/2 - 3 = 6
x/2 = 6+3 .... add 3 to both sides
x/2 = 9
x = 9*2 .... multiply both sides by 2
x = 18 is the answer
As a check, we'll use the same idea as part (a)
x/2 - 3 = 6
18/2 - 3 = 6
9 - 3 = 6
6 = 6
We get a true statement this time. This confirms x = 18
<h3>Answer: x = 18</h3>
