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anonymous

  • one year ago

Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1 a. x = 0 b. x = 2 c. There is no x value as there is no solution. d. x can be any value as there is an infinite number of solutions.

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  1. anonymous
    • one year ago
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    okay so basically you have to set on of the equations equal to y and then plug that value you get for y into the other equation

  2. anonymous
    • one year ago
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    So solve one of them them put the answer in the other equation?

  3. anonymous
    • one year ago
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    yep

  4. anonymous
    • one year ago
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    How would you solve the equation?

  5. LynFran
    • one year ago
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    eq.1 2x+y=1 eq.2 4x+2y=-1 from eq.1 we solve for y so y=1-2x now sub y=1-2x in eq.2 so, 4x+2(1-2x)=-1

  6. anonymous
    • one year ago
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    okay lets pic the second equation 4x + 2y = -1 subtract the 4x 2y = -1 - 4x divide by 2 y = (-1 - 4x)/2

  7. anonymous
    • one year ago
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    if you use the first equation the x's cancel out so i didn't use it

  8. anonymous
    • one year ago
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    so now plug in y = (-1 - 4x)/2 as the y for your fist equation 2x+y = 1

  9. anonymous
    • one year ago
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    so it would be 2x + (-1-4x)/2=1 ?

  10. anonymous
    • one year ago
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    yep

  11. anonymous
    • one year ago
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    and know just solve for x

  12. anonymous
    • one year ago
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    however im starting to think its d

  13. LynFran
    • one year ago
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    exactly the x cancels out which is true so there is an option for that...it will still cancel out ussing your way @Jdosio

  14. anonymous
    • one year ago
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    Thank you for the help it makes more sense how to solve it now.

  15. anonymous
    • one year ago
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    oh really... thats strange im getting -3/2 is it canceling out for you ?

  16. anonymous
    • one year ago
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    Yeah it is

  17. anonymous
    • one year ago
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    So wouldnt it be d if it was canceling out?

  18. anonymous
    • one year ago
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    anyway depending on how you decide to go about it you get different values for x which leads me to believe that it is d

  19. LynFran
    • one year ago
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    i would like to think its C"

  20. anonymous
    • one year ago
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    Why c?

  21. LynFran
    • one year ago
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    because the x value cancels leaving -1/2=1 ...

  22. anonymous
    • one year ago
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    But if the values get canceled out then wouldnt that mean there was just more then one solution

  23. anonymous
    • one year ago
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    it was my understanding that if you could manage to get any x value then you could cancel out c

  24. anonymous
    • one year ago
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    i place my bets on d :p

  25. anonymous
    • one year ago
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    But the equation wasnt set up like that

  26. LynFran
    • one year ago
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    http://www.charleston.k12.il.us/cms/Teachers/math/PreAlgebra/paunit5/L5-4.pdf

  27. LynFran
    • one year ago
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    but let me know if it was D...

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