Please add the rest of the excercise in order to help you! Have a nice a day! :)
I'm not 100% sure it's correct but I tried my hardest and it's a combination of elimination and substitution
Answer:
The equation of the elipse is

Step-by-step explanation:
Equation of an elipse:
The equation of a elipse with centre
has the following format:

Centre at (0,0):
Means that
.
So

Vertex at (13,0):
Vertex at 13 means that 
Focus at (-12,0):
Means that 
We have that:

So


So, the equation of the elipse is

Step-by-step explanation:
a-2=3+6a/3
By cross multiply
3(a-2)=3+6a
3a-6=3+6a
-6-3=6a-3a
-9=3a
a=-3