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anonymous

  • 5 years ago

How do you solve a system of linear equations??

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  1. anonymous
    • 5 years ago
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    I like to subtract multiples of the equations to solve for one of the variables, then back substitute.

  2. anonymous
    • 5 years ago
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    Okay I have an example can you show me how to do it? y=2x+6 and 4x-2y=13

  3. anonymous
    • 5 years ago
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    it's in my math book. umm,

  4. anonymous
    • 5 years ago
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    ok umm, i'll do the second one for you. 4x-2y=13 4x=15y x=15y/4

  5. anonymous
    • 5 years ago
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    i think that's right

  6. anonymous
    • 5 years ago
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    Well here let me type it the right way I gues y=2x+6 4x-2y=13 now is that easier??

  7. anonymous
    • 5 years ago
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    umm that's the same as before.

  8. anonymous
    • 5 years ago
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    I know but it's grouped together how do they work together or correlate?

  9. anonymous
    • 5 years ago
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    Certainly. \[y=2x+6\implies 2y = 4x + 12 \implies -4x + 2y = 12\] Since we have another equation with a -2y we can just add the left and right sides of both equations together \(-4x+2y=12\) +\(4x-2y=13\) \[\implies 0 = 25\] So there is no solution.

  10. anonymous
    • 5 years ago
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    Thankyou sooo much!! I'm gonna work on another problem like that one and I need you to see if I'm right okay?

  11. anonymous
    • 5 years ago
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    Certainly.

  12. anonymous
    • 5 years ago
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    You can actually note that those two equations have no solution because the lines are parallel so they'll never cross eachother. That's what you're finding when you solve these systems is where the graphs intersect.

  13. anonymous
    • 5 years ago
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    Ohh! Okay I gotcha now that makes more sence.

  14. anonymous
    • 5 years ago
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    Now I'm officially lost on this equation: 4x+2y=-10 -6x-2y=12 anad I got -2x+y=2 ;what do I do from there??

  15. anonymous
    • 5 years ago
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    So close! But 2y -2y = 0 not y

  16. anonymous
    • 5 years ago
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    Well I know but I didnt know whether to put y or 0y...so do I keep going from there or??

  17. anonymous
    • 5 years ago
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    0y is correct. but that's the same as 0 which is the same as not putting it at all.

  18. anonymous
    • 5 years ago
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    So you have -2x = 2

  19. anonymous
    • 5 years ago
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    What is x?

  20. anonymous
    • 5 years ago
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    -1

  21. anonymous
    • 5 years ago
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    So substitute that in for x in either one of your original equations to solve for y.

  22. anonymous
    • 5 years ago
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    3, so the answer would be (-1,3)

  23. anonymous
    • 5 years ago
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    Or would it be -3???

  24. anonymous
    • 5 years ago
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    (-1,-3) is correct.

  25. anonymous
    • 5 years ago
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    Alright. Well, thankyou so much for helping me!(: that makes way more sence now

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