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anonymous

  • 5 years ago

5/4x+1/8x=5/8+x ?? I am so bad at fractions

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  1. anonymous
    • 5 years ago
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    like this?: \[\frac{5}{4}x+\frac{1}{8}x=\frac{5}{8}+x\]

  2. anonymous
    • 5 years ago
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    yes but how do you solve it??

  3. anonymous
    • 5 years ago
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    ok, multiply everything by 8: 10x+x=5+8x 3x=5 x=5/3

  4. anonymous
    • 5 years ago
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    ok

  5. anonymous
    • 5 years ago
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    why do we multiply itby 8 b/c it is the common denominator?

  6. anonymous
    • 5 years ago
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    its the least common multiple of the denominators, so it gets rid of all the fractions.

  7. anonymous
    • 5 years ago
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    ok I will kepp that in mind thank you..

  8. anonymous
    • 5 years ago
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    you're welcome

  9. anonymous
    • 5 years ago
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    do you k now anything about the elimination method?

  10. anonymous
    • 5 years ago
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    do you have a specific problem?

  11. anonymous
    • 5 years ago
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    just getting it to opposite and yes! the 5x+6y=2 10x+12y=4

  12. anonymous
    • 5 years ago
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    well those equations are multiples of each other

  13. anonymous
    • 5 years ago
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    so elimination isnt really useful here

  14. anonymous
    • 5 years ago
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    that answer calls for use of the elimination

  15. anonymous
    • 5 years ago
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    to eliminate either x or y you multiply the first equation by -2, then add. But then you get 0=0

  16. anonymous
    • 5 years ago
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    there are actually many solutions to that system

  17. anonymous
    • 5 years ago
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    theyre both the same equation

  18. anonymous
    • 5 years ago
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    there is an option for no solutions or many solutions

  19. anonymous
    • 5 years ago
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    so many solutions woiuld fit

  20. anonymous
    • 5 years ago
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    there are many solutions, because theyre both the same equation so you can pick any x and find a corresponding y to make the equation true

  21. anonymous
    • 5 years ago
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    thank you again

  22. anonymous
    • 5 years ago
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    but something like 2x+3y=15 4x+y=20 you would multiply the first equation by -2 and then add them together to eliminate x -4x-6y=-30 4x+y=20 -5y=-10 y=2 then plug back in to find x 2x+6=15 x=9/2

  23. anonymous
    • 5 years ago
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    then the solution is unique

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