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anonymous

  • 5 years ago

Solve the system. 5x+8y=41 x-y=3 (x,y)=

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  1. KatrinaKaif
    • 5 years ago
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    Lets use substitution here ;)

  2. KatrinaKaif
    • 5 years ago
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    In your second equation "x - y = 3" can be re-written as x = 3 + y Correct?

  3. KatrinaKaif
    • 5 years ago
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    Now lets substitute the concluded equation "x = 3 + y" into the equation "5x + 8y = 41"

  4. KatrinaKaif
    • 5 years ago
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    That'd give us: 5 (3 + y) + 8y = 41

  5. KatrinaKaif
    • 5 years ago
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    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

  6. anonymous
    • 5 years ago
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    if y=2 what does x=

  7. KatrinaKaif
    • 5 years ago
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    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)

  8. KatrinaKaif
    • 5 years ago
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    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. =)

  9. anonymous
    • 5 years ago
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    x=5

  10. KatrinaKaif
    • 5 years ago
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    Correct! Great work ;)

  11. KatrinaKaif
    • 5 years ago
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    Our last step is listing this as an ordered pair..

  12. KatrinaKaif
    • 5 years ago
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    and that would conclude as our final answer =)

  13. anonymous
    • 5 years ago
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    ok

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