I don't think you can give medals on this site, but ok
a way to simplify it is to solve for y x+2y=8 minus x both sides 2y=8-x divide both sides by 2 y=4-x/2
(x,y) just sub points in (sub x values for x and see if you get the coresponding y value) example point (8,0) x=8 and the resulting y should eual 0 y=4-x/2 y=4-8/2 y=4-4 y=0 yes
A. (8,0) works, (6,1) works, (4,2) works B. (2,4) doesn't work, so this option is wrong C. (0,8) doesn't work, so this option is wrong D. (0,8) still , doesn't work, so this option is wrong
The best way in solving this kind of question is to use the Substitution or Assignment method in every variable in the equations and the best answer this question or the right coordinates are in letter A. (8,0)(6,1)(4,2) i hope i answered your question and please ask if you have any clarifications
