SOLUTION: I am suppose to solve the systems of equations by elimination and I don't understand it. Here is my problem. It says to solve by graphing. y-2x=1 2y-4x=1

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Question 900836: I am suppose to solve the systems of equations by elimination and I don't understand it. Here is my problem. It says to solve by graphing.
y-2x=1
2y-4x=1

Found 2 solutions by ewatrrr, Jc0110:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
y-2x=1 0r y = 2x + 1
2y-4x=1 0r y = 2x + 1/2
both have slope = 2
the standard slope-intercept form for an equation of a line is y+=+highlight_green%28m%29x+%2B+highlight%28b%29
Parallel Lines, NO Solution


Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
To solve these equations by graphing, a graph with two straight lines y-2x=1 and 2y-4x=1 is required to be drawn. Then, the intersection point (x,y) where two straight lines meet will be the solutions. x-coordinate in intersection point (x,y) will be the value of x, while y-coordinate in intersection point (x,y) will be the value of y.

However, there is no solution for these two equations since both equations have the same slope, which means they are parallel to each other. Two parallel lines will not meet each other in any situation. Therefore, no intersection point can be found to determine the value of x and of y.