Respuesta :
Answer:
n = 9 is the value in the replacement set is a solution to the equation [tex]3(n+7)=48[/tex]
Step-by-step explanation:
Given an equation: [tex]3(n+7)=48[/tex] .....[1]
Replacement set: {8, 9, 10}
For n = 8
Substitute in equation [1], we get;
[tex]3(8+7)=48[/tex]
[tex]3(15)=48[/tex]
[tex]45=48[/tex] False.
Similarly, For n = 9
Substitute in equation [1], we get;
[tex]3(9+7)=48[/tex]
[tex]3(16)=48[/tex]
[tex]48=48[/tex] True.
for n = 10
Substitute in equation [1], we get;
[tex]3(10+7)=48[/tex]
[tex]3(17)=48[/tex]
[tex]51=48[/tex] False.
Therefore, the value in the replacement set is a solution to this equation [tex]3(n+7)=48[/tex] is, 9