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esha1 esha1
  • 16-02-2015
  • Mathematics
Answered

x+y=0 and x-y=10 solve by substitution.. How do I figure out the problem!

Verified Answer :

konrad509
konrad509 konrad509
  • 16-02-2015

\(x+y=0 \\ x-y=10 \\\\ x=-y\\ x-y=10\\\\ -y-y=10\\ -2y=10\\ y=-5\\\\ x-5=0\\ x=5\\\\ \boxed{(x,y)=(5,-5)}\)

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evahirsch evahirsch
  • 16-02-2015

x+y=0
- x-y=10
--------------
(0)+2y=-10 [x and -x cancel each other out. y minus -y is the same as y+y]
y=-5 
now substitute -5 in for y in either problem:

x+-5=0
x=5

Answer Link

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