Answer:
34 games
Step-by-step explanation:
let the number of losses be [tex]l[/tex]
let the number of victories be [tex]v[/tex]
the Phoenix murmur had 12 more victories than losses:
[tex]v=l+12[/tex]
The number of victories they had was one more than two times the number of losses:
[tex]v=2l+1[/tex]
We have 2 expressions for [tex]v[/tex], equating these 2, we can solve for [tex]l[/tex]:
[tex]l+12=2l+1\\12-1=2l-l\\11=l[/tex]
So 11 games, they lost.
Using this value, we can plug into the 1st equation to solve for v:
[tex]v=l+12\\v=11+12\\v=23[/tex]
So 23 games, they won.
Given that no draws, they played a total of 23 + 11 = 34 games this season
