I have a hard times putting graphs so I'll just put the answers and say how to graph with paper
so we notice that if we solve the second equation (3+y=6), we get a value for y and no value for x so just draw a horizonal line at the point 3 on the y axis
then make the second equation into slope inercept form y=mx+b
x-2y=2
2y-x=-2
2y=x+2
y=1/2x+1
just put in values for x and get y values, then plot points and get line
find where the line inercepts/crosses the first line (3+y=6) and that is the solution
OR
so a the solution is when both equations are true so just assume both are true and solve for x and y
x-2y=2
3+y=6
first of all the second equation is easy
3+y=6
subtract 3 from both sides
y=3
so we subsitute 3 for y in first equation
x-2(3)=2
x-6=2
add 6 to both sides
x=8
y=3
the solution is the point (8,3)