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)
