Answer: The team won 100 games and losses 28 games
Step-by-step explanation:
Let the number of games won denoted by x and the games lost is denoted by y .
Given : A minor league baseball team plays 128 games in a season.
Team won 16 more than three times as many games as they lost.
Then, the system of equations, we have
![x+y=128-------(1)\\\\x=3y+16------------(2)](https://tex.z-dn.net/?f=x%2By%3D128-------%281%29%5C%5C%5C%5Cx%3D3y%2B16------------%282%29)
We can rewrite equation (2) as ![x-3y=16----------------(3)](https://tex.z-dn.net/?f=x-3y%3D16----------------%283%29)
Now, Eliminate equation (3) from (1), we get
![y-(-3y)=128-16\\\\\Rightarrow\ 4y=112\\\\\Rightarrow\ y=\dfrac{112}{4}=28](https://tex.z-dn.net/?f=y-%28-3y%29%3D128-16%5C%5C%5C%5C%5CRightarrow%5C%204y%3D112%5C%5C%5C%5C%5CRightarrow%5C%20y%3D%5Cdfrac%7B112%7D%7B4%7D%3D28)
Substitute the value of y in (2), we get
![x=3(28)+16=84+16=100](https://tex.z-dn.net/?f=x%3D3%2828%29%2B16%3D84%2B16%3D100)
Hence, the team won 100 games and losses 28 games.