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anonymous

  • one year ago

Given the following system of equations, identify the type of system. y = -x + 4 2x + 2y = 8 A. inconsistent b. equivalent

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  1. jim_thompson5910
    • one year ago
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    are you able to solve 2x + 2y = 8 for y?

  2. anonymous
    • one year ago
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    i dont know how. van you explain?

  3. jim_thompson5910
    • one year ago
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    think of 2x+2y as 2y+2x what operation will undo that +2x ?

  4. anonymous
    • one year ago
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    subtract 2 from both sides?

  5. jim_thompson5910
    • one year ago
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    2x actually

  6. jim_thompson5910
    • one year ago
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    so we will have 2y = 8 - 2x which is the same as 2y = -2x + 8

  7. jim_thompson5910
    • one year ago
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    we want to isolate y fully so we have to move that 2 (from 2y) over to the other side. How do we do this?

  8. jim_thompson5910
    • one year ago
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    hint: 2y means "2 times y"

  9. anonymous
    • one year ago
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    divide 2 from both sides?

  10. jim_thompson5910
    • one year ago
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    divide both sides by 2, yes

  11. jim_thompson5910
    • one year ago
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    what do you get when you do this?

  12. anonymous
    • one year ago
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    y = -2x +4?

  13. jim_thompson5910
    • one year ago
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    you have to divide EVERY term by 2, not just the 8

  14. anonymous
    • one year ago
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    y=x+4?

  15. jim_thompson5910
    • one year ago
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    since it works like this \[\Large 2y = -2x + 8\] \[\Large \frac{2y}{2} = \frac{-2x + 8}{2}\] \[\Large \frac{2y}{2} = \frac{-2x}{2} + \frac{8}{2}\] \[\Large y = ??\]

  16. jim_thompson5910
    • one year ago
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    x+4 is close, but no

  17. anonymous
    • one year ago
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    x+3?

  18. jim_thompson5910
    • one year ago
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    you had the +4 part correct

  19. jim_thompson5910
    • one year ago
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    the "x" part was incorrect

  20. anonymous
    • one year ago
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    why is x incorect?

  21. jim_thompson5910
    • one year ago
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    you should divide -2x by 2 to get ????

  22. anonymous
    • one year ago
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    x?

  23. jim_thompson5910
    • one year ago
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    nope not x, you are thinking of 2x divided by 2

  24. anonymous
    • one year ago
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    isnt that the same thing??

  25. anonymous
    • one year ago
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    -x?

  26. jim_thompson5910
    • one year ago
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    yes -x

  27. jim_thompson5910
    • one year ago
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    so we will have y = -x + 4

  28. jim_thompson5910
    • one year ago
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    2x + 2y = 8 turns into y = -x + 4 when you solve for y

  29. jim_thompson5910
    • one year ago
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    so y = -x + 4 and 2x + 2y = 8 are equivalent (ie the same exact equations)

  30. anonymous
    • one year ago
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    thank you for your help

  31. jim_thompson5910
    • one year ago
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    another term for this is "dependent"

  32. jim_thompson5910
    • one year ago
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    yw

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