SOLUTION: What is the solution to the system represented by 2x = y + 6 and 4x - 2y = 12?

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Question 1061008: What is the solution to the system represented by 2x = y + 6 and 4x - 2y = 12?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%282x-y=6%2C4x-2y=12%29

You should realize that the slopes are the same and that the two equations represent the same line. NOT just because of the slopes being the same; but because the second equation is equivalent to the first equation. Try multiplying the members of the first equation by 2 and see...

The solution would be the ordered pairs which fit the line 2x-y=6 or y=-2x%2B6. The solution is the set of points which form this line.