How do you solve the system of linear equations # x+y = 16# and # x-y = -2#?

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Answer 1 · 2016-02-24T10:34:24

#x=7# and #y=9#

Just add the two linear equations #x+y=16# and #x−y=−2#

This gives us

#x+y+x-y=16-2# or

#2x=14# i.e. #x=7#.

Putting this in first equation, #7+y=16#, hence

#y=16-7=9#

Hence, #x=7# and #y=9#