Question 148184
2x+y = 6 

(2,____) (0,____) (1,____) 



2, 0, and 1 represent x values. To find out their corresponding y values, simply plug in the value for x into the equation and solve for y.



1. Start with {{{2x+y = 6}}}.


Plug in 2 {{{2(2)+y=6}}}.


Simplify {{{4+y=6}}}.


Solve {{{y=2}}}.  So when x=2, y=2.  (2,2)




2. Start with {{{2x+y = 6}}}.


Plug in 0 {{{2(0)+y=6}}}


Simplify {{{0+y=6}}}


Solve {{{y=6}}}. So when x=0, y=6. (0,6)




3. Start with {{{2x+y = 6}}}.


Plug in 1. {{{2(1)+y=6}}}


Simplify {{{2+y=6}}}


Solve {{{y=4}}}. So when x=1, y=4. (1,4)
 



Solutions: (2,2) (0,6) (1,4)