Answer:
Part A. x+6y =6 means : 6y = - x+6
Part B. solution of the system : y = (-1/6)x+1 ....(1)
y = (1/3)x -2 ....(2)
Intersection = (6,0)
Part C. PartC : Algebraically by (1) and (2) : (-1/6)x+1 = (1/3)x -2
(-1/6)x - (1/3)x = -2-1
(-x-2x)/6= -3
-3x = -18
so : x = 6 put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)
Part A Graph is down below.
Hope this helps you out! If not, let me know and add what you are wanting/needing! Good luck! ☺
-Karleif Jonsi-