To determine which property is demonstrated by the equation [tex]\( a + 5 = c \)[/tex] given that [tex]\( a + b = c \)[/tex] and [tex]\( b = 5 \)[/tex], let’s break down the steps logically.
1. Initial Equation: You are given the equation [tex]\( a + b = c \)[/tex].
2. Value of [tex]\( b \)[/tex]: It is provided that [tex]\( b = 5 \)[/tex].
3. Substitution: By substituting [tex]\( b = 5 \)[/tex] into the initial equation [tex]\( a + b = c \)[/tex], you replace [tex]\( b \)[/tex] with [tex]\( 5 \)[/tex]. This modification transforms the original equation into [tex]\( a + 5 = c \)[/tex].
4. Conclusion: The act of replacing [tex]\( b \)[/tex] with [tex]\( 5 \)[/tex] in the equation [tex]\( a + b = c \)[/tex] to obtain [tex]\( a + 5 = c \)[/tex] is known as the property of substitution.
So, the correct property demonstrated here is:
B) substitution
