Question 84560
2x+4y=2, 4y=-2x+2, y=-2x/4+2/4, y=-x/2+1/2 (red line)
x+2y=1, 2y=-x+1, y=-x/2+1/2 (green line)
these are the same line equations & are superimposed on the graph.
{{{ graph( 300, 200, -6, 5, -10, 10, y = -x/2 +1/2, y = -x/2 +1/2) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = -x/2 +1/2 and y = -x/2 +1/2). 
solving this equation we get (1,0)(0,1/2).