SOLUTION: how many solutions does the following system have? explain. y= -1/2x+2 3x+6y=2

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Question 127010: how many solutions does the following system have? explain. y= -1/2x+2
3x+6y=2
Answer by solver91311(24713) About Me  (Show Source):
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Solve the second equation for y:
3x%2B6y=2

6y=-3x%2B2

y=-x%2F2%2B2%2F6

Both lines have the same slope, so they are either parallel and there are zero elements in the solution set for this system, or they are the same line and there are an infinite number of elements in the solution set. Since the two lines have different y-intercepts, they cannot be the same line. Therefore the lines are parallel and there are zero solutions.