Answer:
[tex]y=x+14[/tex]
[tex]x+y=58[/tex]
You sold 22 tickets and your friend sold 36 tickets.
Step-by-step explanation:
1. Let´s name the variables as the following:
x = quantity of tickets sold by you
y = quantity of tiquets sold by your friend
2. As you sold 14 more than your friend, the first equation is:
[tex]y=x+14[/tex] (Eq.1)
3. As together sold 58 tickets, the second equation is:
[tex]x+y=58[/tex] (Eq.2)
4. Replacing the Eq. 1 in Eq. 2:
[tex]x+x+14=58[/tex]
[tex]2x+14=58[/tex]
[tex]2x=58-14[/tex]
[tex]2x=44[/tex]
[tex]x=\frac{44}{2}[/tex]
[tex]x=22[/tex]
Then you sold 22 tickets
5. Replacing the value of x result in Eq.1:
[tex]y=x+14[/tex]
[tex]y=22+14[/tex]
[tex]y=36[/tex]
Therefore your friend sold 36 tickets.
