Universal pet house sells vinyl doghouses and treated lumber doghouses. It takes the company hours to build a vinyl doghouse and hours to build a treated lumber doghouse. The company dedicates hours every week towards building doghouses. It takes an additional hour to paint each vinyl doghouse and an additional hours to assemble each treated lumber doghouse. The company dedicates hours every week towards assembling and painting doghouses. Write a system of equations that represent the production time needed to build each doghouse and the production time needed for painting and assembling each doghouse. Use to represent the number of vinyl doghouses and represent the number of treated lumber doghouses.