Question 45018
You start with the equation {{{2x + y = 10 }}}.
You can rearrang this to give y in terms of x {{{y=10-2x}}} or to give x in terms of y {{{x=5-y/2}}}.
However, I would prefer to draw the graph of y=10-2x and then to find the points i need, I would just look at the value of y when x is something or visa versa:
{{{ graph( 300, 200, -2, 12, -4, 12, 10-2x) }}}
Anyway, the answers are:

(5, 0), (0 ,10), (6, -2),  (0, 10)

I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
Adam