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anonymous

  • 5 years ago

OK. I need help solving a linear system by using the elimination method, but I also need to arrange the like terms, but sadly I don't know how. The linear system is 1. 2x - y = 32 2. y -5x = 13. The second equation needs to be arranged. Please help?

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  1. anonymous
    • 5 years ago
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    I'll try to help. Are you still around?

  2. anonymous
    • 5 years ago
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    Yes.

  3. anonymous
    • 5 years ago
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    Okay, gimme a sec. (writing problems down)

  4. anonymous
    • 5 years ago
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    Sure.

  5. anonymous
    • 5 years ago
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    The first trick, is to line the equations up, with all of the variables and numbers in columns. This makes it easier to see what we're looking at.

  6. anonymous
    • 5 years ago
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    Yeah I did that. I need to write it in standard form, but the x and y are in the different places.

  7. anonymous
    • 5 years ago
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    So, in other words, here is how I rewrote them. -y + 1.2x = 32.2 y - 5x = 13

  8. anonymous
    • 5 years ago
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    Oh, lol, I didn't even think about standard form.

  9. anonymous
    • 5 years ago
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    The original equation for the first one is 2x - y = 32

  10. anonymous
    • 5 years ago
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    How did you get 1.2x?

  11. anonymous
    • 5 years ago
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    Ahhhh! Okay. Let's rewrite the equations in standard form. ( I read your first post wrong)

  12. anonymous
    • 5 years ago
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    2x - y = 32 5x - y = 13

  13. anonymous
    • 5 years ago
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    Do you remember the additive identity property?

  14. anonymous
    • 5 years ago
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    Yeah.

  15. anonymous
    • 5 years ago
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    Okay. That property lets us move the addition/subtraction terms around however we like.

  16. anonymous
    • 5 years ago
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    That's how I was able to rearrange the terms

  17. anonymous
    • 5 years ago
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    Do you also remember that you can multiply both sides by a negative?

  18. anonymous
    • 5 years ago
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    I know that part to.

  19. anonymous
    • 5 years ago
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    Okay

  20. anonymous
    • 5 years ago
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    So did you arrange the like terms correctly?

  21. anonymous
    • 5 years ago
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    2x - y = 32 5x - y = 13 ?

  22. anonymous
    • 5 years ago
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    I'm going to multiply the top equation by negative one, and then I'm going to add the two equations together. And, yes.

  23. anonymous
    • 5 years ago
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    That's what I see.

  24. anonymous
    • 5 years ago
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    Okay.

  25. anonymous
    • 5 years ago
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    Standard form is X + Y = Z

  26. anonymous
    • 5 years ago
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    Your going to solve for one variable right?

  27. anonymous
    • 5 years ago
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    Yup. One way we can accomplish this is by adding the two equations together.

  28. anonymous
    • 5 years ago
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    I thought standad form was Ax + By = c?

  29. anonymous
    • 5 years ago
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    Uhh.. Yes. You're more right. (Sorry, haven't used standard form in a while)

  30. anonymous
    • 5 years ago
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    It's cool.

  31. anonymous
    • 5 years ago
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    Okay. So let's multiply by (-1) 2x - y = 32 becomes -2x + y = -32

  32. anonymous
    • 5 years ago
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    Okay and then your going to add it?

  33. anonymous
    • 5 years ago
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    I got 3x = - 19

  34. anonymous
    • 5 years ago
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    Yes! Now, it becomes very apparent why adding equations is awesome. -2x + y = - 32 + 5x - y = 13 ( I need to double check the negatives)

  35. anonymous
    • 5 years ago
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    Okay.

  36. anonymous
    • 5 years ago
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    Yeah, it's -2x + y = -32 + 5x - y = -13 I didn't need to multiply the top equation by negative one, (oops!), so I multiplied the bottom one, so that they'll add up nicely again. (Sorry for the confusion)

  37. anonymous
    • 5 years ago
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    Would you add them together please?

  38. anonymous
    • 5 years ago
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    3x = - 45

  39. anonymous
    • 5 years ago
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    x = -15

  40. anonymous
    • 5 years ago
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    Yup! Now you just need to clean up.

  41. anonymous
    • 5 years ago
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    Now, substitute x for - 15 on another equation, and you'll get y. ^^

  42. anonymous
    • 5 years ago
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    -2(-15) + y = -32 30 + y = -32 y = -2

  43. anonymous
    • 5 years ago
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    Hmm..... Something went wrong. Argh! Sorry!!

  44. anonymous
    • 5 years ago
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    I use it in the original equation don't I?

  45. anonymous
    • 5 years ago
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    Alright, let's try this one more time! Hang on, gimme a second.

  46. anonymous
    • 5 years ago
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    2(-15) - y = 32 -30 - y = 32 -y = 62 y = -62

  47. anonymous
    • 5 years ago
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    Hey I checked..and your right.

  48. anonymous
    • 5 years ago
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    The solution is (-15, -62)

  49. anonymous
    • 5 years ago
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    O_O Yeah. I checked it. Just some bad 'rithmatic

  50. anonymous
    • 5 years ago
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    Ow. Okay, cool. Whew. I was worried I led you down the wrong path. Hehe

  51. anonymous
    • 5 years ago
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    It's cool.

  52. anonymous
    • 5 years ago
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    Thanks.

  53. anonymous
    • 5 years ago
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    Anyway, awesome. Take it easy, and God bless with the rest of your homework. ... Yikes. I think I need some sleep!

  54. anonymous
    • 5 years ago
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    Lol. Me too.

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