anonymous
  • anonymous
Solve the system by the substitution method. x2 + y2 = 113 x + y = 15 A. {( -8, 7), ( -7, 8)} B. {( 8, -7), ( 7, -8)} C. {( 8, 7), ( 7, 8)} D. {( -8, -7), ( -7, -8)}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@JoannaBlackwelder time for ya next medal lol
JoannaBlackwelder
  • JoannaBlackwelder
Haha! Any thoughts on how to start?
anonymous
  • anonymous
yeah start subbing for the first equation to see wich one imakes it a true statement

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JoannaBlackwelder
  • JoannaBlackwelder
Hm, no, that's not what is meant by substitution.
anonymous
  • anonymous
ohhh
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439922974168:dw| First solve for a variable.
anonymous
  • anonymous
ok this is harder then i thought haha
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439923058436:dw| Then sub it into the other equation.
JoannaBlackwelder
  • JoannaBlackwelder
Yeah, it can be tricky.
anonymous
  • anonymous
x² + (-x-15)² = 113 x² + (-x - 15)(-x - 15) = 113 x² + x² + 30x + 225 = 113 2x² + 30x + 112 = 0 2(x² + 15x + 56) = 0 2(x + 8)(x + 7) = 0 x = -8, -7 would this be right
anonymous
  • anonymous
If x = -8, then -8 + y = -15 So y = -7 So a solution is (-8, -7) If x = -7, then -7 + y = -15 y = -8 So a solution is (-7, -8)
JoannaBlackwelder
  • JoannaBlackwelder
Hm, no, y=15-x, not -15-x
anonymous
  • anonymous
ok so go on with your explaing i thoght i had it atleast i tride un like the folks who just want answers haha
JoannaBlackwelder
  • JoannaBlackwelder
It looks like you have the right idea for the rest of it. You just messed up on defining y. Valiant effort! :-)
anonymous
  • anonymous
ok so can you correct me please
JoannaBlackwelder
  • JoannaBlackwelder
x² + (-x+15)² = 113 See why?
anonymous
  • anonymous
ohh ok make sence
JoannaBlackwelder
  • JoannaBlackwelder
Cool, what do you get from there?
anonymous
  • anonymous
i got x=7
anonymous
  • anonymous
or x=8
JoannaBlackwelder
  • JoannaBlackwelder
Awesome! And what are the corresponding y values?
anonymous
  • anonymous
so (8,7)(7,8)
JoannaBlackwelder
  • JoannaBlackwelder
Great job!
anonymous
  • anonymous
thnx
anonymous
  • anonymous
and thnx for your help once again
JoannaBlackwelder
  • JoannaBlackwelder
You're welcome :-)

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