Take one equation at a time.

2x+4y=2

4y=-2x+2

y=-1/2x+1/2

Next equation:

x+2y=1

2y=-x+1

y=-1/2x+1/2

Both equations are the same. The slope is -1/2 and the

y intercept is 1/2. Just graph this. Meaning… you place a dot on 1/2 on the y axis and then you count 1 space down and two spaces to the right. Then male a line by connecting those two points and there is your graph.

To solve a system of equations, one common method is to simply solve for one variable in the first equation, and use that variable to solve the other variable in the second equation, after which you can use that final answer to find the first variable.

However, this is not the only way. A simpler way to solve is to solve by graphing. If you plot both graphs, the INTERSECTION of the graphs is a point (x,y) that contains the values that make both equations true at the same time, which answers our question. Just plot one, and the other. Unless the coordinates of the point are obvious, you can check for an intersection using a graphing calculator. Assuming you use a TI-83 plus you can use the intersect function using 2nd+Trace (calc) while viewing the graph of the two lines.

In this case, the graphs will be the same, and there will be an infinite number of correct answers, because the graphs share every point with one another.