SOLUTION: x²-y²=24 x+y=8 Solve the system and graph the curves.

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Question 1120970: x²-y²=24
x+y=8
Solve the system and graph the curves.
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of squares says that x2-y2=(x+y)(x-y).
system%28x%5E2-y%5E2=24%2Cx%2By=8%29
system%28%28x%2By%29%28x-y%29=24%2Cx%2By=8%29 Substitute 8 for x+y in the first equation,
system%28x-y=3%2Cx%2By=8%29 Add both equations to get
2x=11
highlight%28x=5.5%29
5.5-y=3
highlight%28y=2.5%29 Check:5.5+2.5=8 5.52-2.52=24 24=24. Graph:
graph%28450%2C450%2C-10%2C10%2C-10%2C10%2Cy=sqrt%28x%5E2-24%29%2Cy=8-x%29