SOLUTION: How many solutions exist for the lines x+y=3 and y= x +3? How do obtain the solution?

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Question 326931: How many solutions exist for the lines
x+y=3 and y= x +3?
How do obtain the solution?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The slope of one of the lines is -1 and the slope of the other is 1, hence the two lines are NOT parallel and must intersect in a single point somewhere. Note that both lines have a -intercept of 3. They both intercept the -axis in the same point. Well, if the two lines intersect in only one point and they both intersect the -axis in the same point, the -intercept has to be the place. Point of intersection and the single element of the solution set is


John