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anonymous

  • 5 years ago

Literal Equation: Help solve 3x-4y = 26 x - 8y = 22

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  1. amistre64
    • 5 years ago
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    3x-4y = 26 (-2) x - 8y = 22 -6x+8y = -52 x - 8y = 22 ------------- -5x = -30 x = 6

  2. anonymous
    • 5 years ago
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    x=6,y=-2

  3. anonymous
    • 5 years ago
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    Why do you only subtract -2?

  4. anonymous
    • 5 years ago
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    he is multiplying the whole equation with -2

  5. amistre64
    • 5 years ago
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    you mulltiply the whole thing by (-2) in order to get an equation that can eliminate a variable

  6. anonymous
    • 5 years ago
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    And you are elimination the Y?

  7. amistre64
    • 5 years ago
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    yes; with the y gone, we can easily solve for x

  8. anonymous
    • 5 years ago
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    What about substitution?

  9. amistre64
    • 5 years ago
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    for example: 3x = 12; x=4 what happens if we multiply the whole thing by 5, does the x value change? 3x = 12 (5) 15x = 60 ; x = 4

  10. amistre64
    • 5 years ago
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    substitution is just solving for one variable in the terms of the other ... its more labor intensive

  11. amistre64
    • 5 years ago
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    subbing, elimiation, matrix .... all get the same answer so you eventually just go with whats best for you :)

  12. anonymous
    • 5 years ago
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    Except rumor has it that this problem will be on a test with subbing instead!

  13. amistre64
    • 5 years ago
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    How do you get to kentucky? lol

  14. amistre64
    • 5 years ago
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    then solve for one variable in terms of the other; use that 'value' in the other eqaution to get a solid value for the 'other' variable; and use the solid value to determine the value of the unknowned

  15. anonymous
    • 5 years ago
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    What if i took 3x - 4y = 26 x - 8y = 22 and i did this x = 22 + 8y would that work?

  16. amistre64
    • 5 years ago
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    that would work out great :)

  17. amistre64
    • 5 years ago
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    since x=x=x=x=x... use that 'value' for x in the top and solve it all for y

  18. anonymous
    • 5 years ago
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    Are you saying 3(22 + 8y) - 4y = 26 66 + 24y - 4y = 26

  19. amistre64
    • 5 years ago
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    thats correct

  20. anonymous
    • 5 years ago
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    Why do I flip it the 2nd equation though?

  21. amistre64
    • 5 years ago
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    becasue you cant really determine the value of y from the first equation; you need another 'form' to use it in to calibrate the value

  22. amistre64
    • 5 years ago
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    umm.... what do you mean by flip it?

  23. anonymous
    • 5 years ago
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    Changing it from x - 8y = 22 to x = 22 + 8y

  24. amistre64
    • 5 years ago
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    think of subbing as 'looking at it from another direction'...

  25. amistre64
    • 5 years ago
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    x + y = 6 can have any values; and you cant determine x or y to be one point ..... so look at it thru a different equation right?

  26. anonymous
    • 5 years ago
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    So in the x - y = 4 4y - x = 14 could I change the x - y = 4 to x = 4 + y?

  27. amistre64
    • 5 years ago
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    yes..... then we use that 'value' in the other equation to see it from a different perspective and can solve for y in it

  28. anonymous
    • 5 years ago
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    or in the equation x + y = 10 6x - 7y = 34 I can change the x + y = 10 to x = 10 - y?

  29. amistre64
    • 5 years ago
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    exactly

  30. anonymous
    • 5 years ago
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    I think I get it. If I don't I'll just ask you again :D

  31. amistre64
    • 5 years ago
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    good idea ;)

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