Universal pet house sells vinyl doghouse and treated lumber doghouses. it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. the company dedicates 50 hours every week towards assembling and painting doghouses. it takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. the company dedicates 30 hours every week towards assembling and paining dog houses.

write a system of equation that represents the production time needed to build each dog house and the production time needed for paining and assembling each dog house. use x to represent the number of vinyl dog houses and y to represent the number of treated lumber dog houses.(just need the answer

build time:
paint/assembly time: