SOLUTION: Solve the system by graphing. 2x + 4y = 2 x + 2y = 1

Question 84560: Solve the system by graphing.
2x + 4y = 2
x + 2y = 1

Found 2 solutions by checkley75, rapaljer:
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
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 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).

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
As Checkley correctly pointed out, these two equations represent the same straight line. However, if the solution is the SAME LINE, then the entire line is the solution to the problem. There are infinitely many solutions, since EVERY point on the line is a solution of both equations!!

R^2 at SCC
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