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anonymous

  • one year ago

solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11

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  1. Michele_Laino
    • one year ago
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    hint: we can multiply the first equation by 5, so the new first equation is: 10x-25y=-35 next we can multiply the second equation by 2, so we get: 10x-6y=22 then we have this equivalent system: \[\Large \left\{ \begin{gathered} 10x - 25y = - 35 \hfill \\ 10x - 6y = 22 \hfill \\ \end{gathered} \right.\] now, please subtract the second equation, from the first one, what equation do you get?

  2. anonymous
    • one year ago
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    10x-19y=-13

  3. Michele_Laino
    • one year ago
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    hint: if we do that subtraction, we can write this: \[\Large \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = - 35 - 22\] please simplify

  4. anonymous
    • one year ago
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    im confused im i supposed to subtract -35 and 22

  5. Michele_Laino
    • one year ago
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    yes!: -35-22=-57

  6. Michele_Laino
    • one year ago
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    now, please simplify the left side

  7. anonymous
    • one year ago
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    25y and 6y = -31

  8. Michele_Laino
    • one year ago
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    hint: \[\Large \begin{gathered} \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = \hfill \\ \hfill \\ = 10x - 25y - 10x + 6y = ...? \hfill \\ \end{gathered} \]

  9. anonymous
    • one year ago
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    -15-4=-19

  10. Michele_Laino
    • one year ago
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    what are -15 and -4 ?

  11. anonymous
    • one year ago
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    you said 10x-25y

  12. Michele_Laino
    • one year ago
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    here is the right step: |dw:1440873623698:dw|

  13. anonymous
    • one year ago
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    oooo

  14. Michele_Laino
    • one year ago
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    so we get this equation: \[\Large - 19y = - 57\] please solve for y

  15. anonymous
    • one year ago
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    3

  16. Michele_Laino
    • one year ago
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    correct!

  17. Michele_Laino
    • one year ago
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    now, please replace y with 3 into the first equation of the original system, what do you get?

  18. anonymous
    • one year ago
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    15

  19. Michele_Laino
    • one year ago
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    yes! and Iwe gaet the subsequent equation: \[\Large 2x - 15 = - 7\] please solve for x

  20. Michele_Laino
    • one year ago
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    we*

  21. anonymous
    • one year ago
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    4

  22. Michele_Laino
    • one year ago
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    correct! so the solution of your system is: x=4 y=3

  23. anonymous
    • one year ago
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    thank you for helping me i understand it now a little

  24. Michele_Laino
    • one year ago
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    :)

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