Question 744160
{{{drawing(300,300,-1,4,-1,4,
grid(1),
blue(circle(0,0,0.1)),blue(circle(2,2,0.1)),
blue(line(-1,-1,4,4)),
green(circle(0,3,0.1)),green(circle(1.5,3,0.1)),
green(line(-1,3,4,3)),
red(circle(3,3,0.2))
)}}} The graph shows that a line that passes through (0,0) and (2,2), and a second line that goes through (0,3) and (1.5,3), intersect at (3,3).
(0,0) and (2,2).
{{{blue(y=x)}}} is the equation for the slanted line that passes through 
(0,0) and (2,2).
{{{green(y=3)}}} is the equation for the horizontal line the second (green) line goes through (0,3) and (1.5,3).
The solution of {{{system(y=x,y=3)}}} is the pair (3,3):
{{{highlight(x=3)}}} , {{{highlight(y=3)}}}
For a graphical solution, the next step would be verifying that those values satisfy both equations.
In this case, we can mentally verify that substituting the pair (3,3) we get {{{3=3}}} for both equations.