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PrinceCloud

  • 2 years ago

solve the following linear system x-2/3 + y+1/5 = 2 x+2/7 - y+5/7 = -2

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  1. PrinceCloud
    • 2 years ago
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    \[\frac{ x-2 }{ 3 } + \frac{ y+1 }{ 5 } = 2\] \[\frac{ x+2 }{ 7 } - \frac{ y+5 }{ 3 } = -2\]

  2. mathstudent55
    • 2 years ago
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    Multiply the first equation by 15 and the second eqaution by 21 to get rid of denominators.

  3. cwrw238
    • 2 years ago
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    first get rid of the fractions by multiplying each equation by the LCM of the 2 denominators which is 15 and 21 as mathstudent55 stated

  4. PrinceCloud
    • 2 years ago
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    then what

  5. cwrw238
    • 2 years ago
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    then solve for x and y by the elimination or substitution method

  6. PrinceCloud
    • 2 years ago
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    what is the equation then?

  7. PrinceCloud
    • 2 years ago
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    show me the steps please

  8. cwrw238
    • 2 years ago
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    ok i'll convert the first one for you |dw:1359322885676:dw|

  9. cwrw238
    • 2 years ago
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    now simplify it further: 5x - 10 + 3y + 3 = 30 5x + 3y = 30 + 10 - 3 5x + 3y = 37

  10. cwrw238
    • 2 years ago
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    now follow the same procedure with the second equation

  11. PrinceCloud
    • 2 years ago
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    k thanks

  12. cwrw238
    • 2 years ago
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    - you multiply through by 21 in this case

  13. PrinceCloud
    • 2 years ago
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    yes i know thanks alot

  14. cwrw238
    • 2 years ago
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    you r welcome

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