Question 1185746: Solve the simultaneous equations y = | x-5 | and y = | 3-2x | + 2.
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
 for x<5
 for x>5
 for x<3/2
 for x>3/2
So we need to look for solutions for x in three intervals: (-infinity,3/2), (3/2,5), and (5, infinity).
(1) (-infinity,3/2)
x=0 is in the interval we are working in, so x=0 is a solution -- or, rather, (x,y)=(0,5) is a solution.
(2) (3/2,5)
x=2 is also in the interval we are working in, so (x,y)=(2,3) is a solution.
(3) (5,infinity)
x=-4 is not in the interval we are working in, so this is not another solution.
ANSWER: (x,y)=(0,5) and (x,y)=(2,3)
A graph, showing the graphs of the two absolute value functions intersecting at (0,5) and (2,3)....
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