SOLUTION: does the system have one solution,no solution ,or an infinite number of solutions? 3x=y+3 6x-2y=3

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Question 519854: does the system have one solution,no solution ,or an infinite number of solutions?
3x=y+3
6x-2y=3
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
3x = y +3
y+3 = 3x
y = 3x -3
.
6x -2y = 3
-2y = -6x +3
y = 3x -3/2
.
The slope of each equation is the same, so they are parallel.
.
They have a different y-intercept, so they have no points in common, which means there is no solution.
.
In the following graph:
y = 3x-3 is red
y = 3x -3/2 is green
.
+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C3%2Ax-3%2C3%2Ax-3%2F2%29+