anonymous
  • anonymous
Solve the system. 5x+8y=41 x-y=3 (x,y)=
Mathematics
chestercat
  • chestercat
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KatrinaKaif
  • KatrinaKaif
Lets use substitution here ;)
KatrinaKaif
  • KatrinaKaif
In your second equation "x - y = 3" can be re-written as x = 3 + y Correct?
KatrinaKaif
  • KatrinaKaif
Now lets substitute the concluded equation "x = 3 + y" into the equation "5x + 8y = 41"

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KatrinaKaif
  • KatrinaKaif
That'd give us: 5 (3 + y) + 8y = 41
KatrinaKaif
  • KatrinaKaif
Now simply simplify. Distribute 5 to (3 + y) giving us : 15 + 5y + 8y = 41 Then collect like terms.. 15 + 13y = 41 Bring 15 to the other side by substracting.. 13y = 41 - 15 13y = 26 Divide by 13 on both sides y = 2
anonymous
  • anonymous
if y=2 what does x=
KatrinaKaif
  • KatrinaKaif
Now substitute y = 2 into the original equation "5x + 8y = 41" giving us 5x + 8(2) = 41 Now simplify this, and you will get your "x" Simply arrange them into the ordered pair in the designated places, as (x, y)
KatrinaKaif
  • KatrinaKaif
Sorry sweetie, I wont be completing the work for what "x" equals. Give it a try, and if you need help, I shall guide you through it. =)
anonymous
  • anonymous
x=5
KatrinaKaif
  • KatrinaKaif
Correct! Great work ;)
KatrinaKaif
  • KatrinaKaif
Our last step is listing this as an ordered pair..
KatrinaKaif
  • KatrinaKaif
and that would conclude as our final answer =)
anonymous
  • anonymous
ok

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