Answer:
78 emails
Step-by-step explanation:
Given
Represent sent emails with x and received with y.
So, we have:
[tex]x + y = 114[/tex] -- First statement
[tex]y = 6 + 2x[/tex] -- Second statement
Required
Determine the number of emails received (y)
Make x the subject in [tex]x + y = 114[/tex]
[tex]x = 114 - y[/tex]
Substitute 114 - y for x in [tex]y = 6 + 2x[/tex]
[tex]y = 6 + 2(114 - y)[/tex]
Open bracket
[tex]y = 6 + 228 - 2y[/tex]
Collect Like Terms
[tex]2y+y = 6 + 228[/tex]
[tex]3y = 234[/tex]
Divide by 3
[tex]y = 234/3[/tex]
[tex]y = 78[/tex]
