Answer: The intersection point between the 2 lines is (5,5)
Explanation:
y=10-x can be graphed in the form y=-x+10
3x-3y=0 can be simplified:
3x=3y
y=x
Which can be graphed as well.
If you graph the equations you will find they intersect at (5,5)
You can also check this by setting 10-x=x and solving for x.
You will get x=5 and since y=x then y=5 as well.