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anonymous

  • 5 years ago

what is the solution of the following system of equation? 2x-6=2y 3-2x=y

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  1. anonymous
    • 5 years ago
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    x=2 and y=-1

  2. anonymous
    • 5 years ago
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    plug in 3-2x for y for the equation 2x-6

  3. anonymous
    • 5 years ago
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    right, substitute: you could do as bradley said: y = (3 - 2x) --> (2x - 6) = 2*(3 - 2x) --> (2x-6) = (6 - 4x)

  4. anonymous
    • 5 years ago
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    so 2x + 4x -6 = 6, therefore 6x - 6 = 6, therefore x = 12/6 = 2, x = 2, now use the fact that 3-2x=y --> y now is 3-2*(2) = 3-4 = -1 --> (x,y) = ( 2, -1 )

  5. anonymous
    • 5 years ago
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    ok. i am going to see if i can understand it so i can work on my next one

  6. anonymous
    • 5 years ago
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    so, just tell me how i sovled it?

  7. anonymous
    • 5 years ago
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    so you get the general concept

  8. anonymous
    • 5 years ago
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    i am confused

  9. anonymous
    • 5 years ago
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    ok, what is confusing now?

  10. anonymous
    • 5 years ago
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    i guess the way it is written

  11. anonymous
    • 5 years ago
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    ok, you have two equations and two variables

  12. anonymous
    • 5 years ago
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    toussainr might be able to explain it differently...

  13. anonymous
    • 5 years ago
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    ok, well then: the goal is find the values for each variable that satisfy both equations

  14. anonymous
    • 5 years ago
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    My browser just froze, sorry

  15. anonymous
    • 5 years ago
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    dpflan, please go ahead!!!

  16. anonymous
    • 5 years ago
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    okay, I'm going to give it try, hoping I'm helpful

  17. anonymous
    • 5 years ago
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    you have to equations. we are going to proceed in steps to make things easier!!!

  18. anonymous
    • 5 years ago
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    1. You move terms in 'x' and 'y' to the left hand side (LHS) and the constants to the right hand side (RHS)

  19. anonymous
    • 5 years ago
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    So we have: 2x-2y = 6

  20. anonymous
    • 5 years ago
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    AND

  21. anonymous
    • 5 years ago
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    -2x-y = -3

  22. anonymous
    • 5 years ago
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    Let's move on with step two

  23. anonymous
    • 5 years ago
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    2. From equation "-2x-y = -3" Let's derive a value for 'y'

  24. anonymous
    • 5 years ago
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    We have -y = -3+2x OR y = 3-2x (we multiply by -1 the LHS and the RHS)

  25. anonymous
    • 5 years ago
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    This value: "y = 3-2x" we are going to replace it in the first equation : 2x-2y = 6

  26. anonymous
    • 5 years ago
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    We have now:

  27. anonymous
    • 5 years ago
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    2x - 2 (3-2x) = 6

  28. anonymous
    • 5 years ago
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    Let's multiply,. we have: 2x - 6 + 4x = 6

  29. anonymous
    • 5 years ago
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    Let's perform the required addition: 6x-6 = 6

  30. anonymous
    • 5 years ago
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    let's divide by 6 the RHS and the LHS, we have now : "x - 1 = 1"

  31. anonymous
    • 5 years ago
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    Form here we can easily find the value of x :" x = 2"

  32. anonymous
    • 5 years ago
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    Recall that y = 3-2x So, we replace: y = 3 - 2 * 2 ( * stands here for multiplication ) And finally y = 3 -4 y = -1

  33. anonymous
    • 5 years ago
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    THAT"S THE BEST I CAN DO!

  34. anonymous
    • 5 years ago
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    thank you. I understand it more now. :)

  35. anonymous
    • 5 years ago
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    Okay!!! Just to quote John Von Neuman : "You don't understand maths, you get accustomed to it" So do a many exercises as you can! That's the key to successful mathematics!

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