SOLUTION: I need to find the X and Y intercepts of the two equations. 4x-2y=6 and x-y/2=-1.5. I have already found the X and Y intercepts of each but now I need to find the "solution" to

Question 578060: I need to find the X and Y intercepts of the two equations. 4x-2y=6 and x-y/2=-1.5. I have already found the X and Y intercepts of each but now I need to find the "solution" to the problem. I'm very confused on how to find the solution. Here is what I have so far:
For equation 4x-2y=6
The X intercept is 3/2
The Y intercept is -3
For equation x-y/2=-1.5
The X intercept is -1.5
The Y intercept is 3
I'm also needing to graph these. I can graph them with no problems, it's just finding the "solution" that is throwing me off. I'm not quite sure what they mean by it.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The "solution" is the point ( x1,y1 ) that satisfies
both equations. It is the intersection of the
2 straight lines. As long as they are straight lines, they
can only intersect at 1 point.
------------------------
(1)
(2)
---------------------
Multiply both sides of (2) by
(2)
Divide both sides of (1) by
(1)
------------------
Because these lines only differ by a constant,
they are parallel lines, and can have no
intersection, and therefore no solution
Here's a plot of the lines:

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