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anonymous
 4 years ago
Solve the system.
5x+8y=41
xy=3
(x,y)=
anonymous
 4 years ago
Solve the system. 5x+8y=41 xy=3 (x,y)=

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KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Lets use substitution here ;)

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4In your second equation "x  y = 3" can be rewritten as x = 3 + y Correct?

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Now lets substitute the concluded equation "x = 3 + y" into the equation "5x + 8y = 41"

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4That'd give us: 5 (3 + y) + 8y = 41

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Now 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

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Now 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
 4 years ago
Best ResponseYou've already chosen the best response.4Sorry 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. =)

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Correct! Great work ;)

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4Our last step is listing this as an ordered pair..

KatrinaKaif
 4 years ago
Best ResponseYou've already chosen the best response.4and that would conclude as our final answer =)
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