The definition of absolute value of a is:

`|a| = {(a if a >=0),(-a if <0):}`

So y = |x| is `y = {(x if x>=0),(-x if x<0):}` so its graph looks like:

Now |y|=x or x = |y| is the graph

`x = {(y if y>=0),(-y if y<0):}` we...

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The definition of absolute value of a is:

`|a| = {(a if a >=0),(-a if <0):}`

So y = |x| is `y = {(x if x>=0),(-x if x<0):}` so its graph looks like:

Now |y|=x or x = |y| is the graph

`x = {(y if y>=0),(-y if y<0):}` we could rewrite it like this:

`y = {(x if y>=0),(-x if y<0):}` , you could also write this as `y=+-x` if `xgt=0` so its graph would look like this:

These two graphs intercet allong the line y=x for x>=0 and this is our answer.