How would I go about finding x and y? |x| + |y| = |x + y|

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How would I go about finding x and y? |x| + |y| = |x + y|

Mathematics
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i think you make your own example like 5+3=8
there are infinite solutions for example |1! + |2| = |1 + 2| and many ,many more
I think the thing that I am more confused with is what would x and y have to be (such as negative or positive) that would be right, sorry I didn't explain the question correctly I mean for |x| + |y| < |x+y| xD

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This is always true, just to let you know...it may help \[|a+b|\le |a|+|b|\]
What you have is less than or equal to. I am thinking more of just less than, and switched around
you will never find \(|a|+|b|<|a+b|\)
Interesting, How would you interpret the word problem: "Write the statement where the sum of the absolute values of two numbers is less than the absolute value of the sum of the two numbers."
you interpreted it correctly
So that would interpret to |x|+|y|<|x+y|? and if so, there must be some value for x and y that would make the equation true, correct?
There is not. \[a^2+b^2+2|a||b|\ge a^2+b^2+2ab\] Now \(|a|^2=a^2\) for any number \(a\). So from above \[|a|^2+|b|^2\ge |a+b|^2\implies |a|+|b|\ge |a+b|\]

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