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**x + |x| = y + |y| ??**

## Homework Statement

Draw the graph of x + |x| = y + |y|

## The Attempt at a Solution

__x + |x| = y + |y|__

2x = y + |y| for x [itex]\geq[/itex] 0

0 = y + |y| for x < 0

__2x = y + |y|__

2x = 2y which is x = y for y [itex]\geq[/itex] 0

2x = 0 for y < 0

__0 = y + |y|__

0 = 2y for y [itex]\geq[/itex] 0

0 = 0 for y < 0

The answer is the graph y = x for x > 0 which i can find in my work but it is also the entire quadrant formed by x < 0 and y < 0. That quadrant i cant find in my work. Who knows how this quadrant is found?

greetz

Ivar

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