Respuesta :
b) 2a
If a-b is 0, they are the same number so if you add them it would be the same as multiplying it by 2
If a-b is 0, they are the same number so if you add them it would be the same as multiplying it by 2
Answer: The correct option is (b) 2a.
Step-by-step explanation: We are given the following condition :
[tex]a-b=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to select the correct expression that equals (a + b).
From equation (i), we have
[tex]a-b=0\\\\\Rightarrow a=0+b\\\\\Rightarrow a=b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Therefore, we get
[tex]a+b\\\\=a+a~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{from equation (ii)}]\\\\=2a.[/tex]
Thus, a + b = 2a.
Option (b) is CORRECT.
