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Republican31

  • one year ago

2+3x=4y+5z ______ 6 for Z... All answers are some variation of z=12+18x+24y _____________ 5 I'm doing the line system because I was afraid it could be confused with just 5z/6 instead of 4y+5z all over 6.

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  1. jim_thompson5910
    • one year ago
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    you can type it like this 2+3x=(4y+5z)/6

  2. Republican31
    • one year ago
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    Okay, I just wasn't sure if putting those in ()'s changed the equation at all.

  3. jim_thompson5910
    • one year ago
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    anyways, first you multiply both sides by 6 2+3x=(4y+5z)/6 6*(2+3x)=6*(4y+5z)/6 12+18x=4y+5z

  4. jim_thompson5910
    • one year ago
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    what's next?

  5. Republican31
    • one year ago
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    12+18x=24y+30z?

  6. Republican31
    • one year ago
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    Then 12+18x-24y=30z, right?

  7. Republican31
    • one year ago
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    Should I not have multiplied 5 and 6? Or what am I supposed to do now?

  8. jim_thompson5910
    • one year ago
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    when you multiply (4y+5z)/6 by 6, the two '6' terms divide to 1 1 times anything is the same number, so the '6's go away more or less

  9. jim_thompson5910
    • one year ago
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    (4y+5z)/6 will turn into 4y+5z after you multiply the right side by 6

  10. Republican31
    • one year ago
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    Okay. So z=(12+18x-4y)/5.

  11. jim_thompson5910
    • one year ago
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    correct

  12. Republican31
    • one year ago
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    Thank you!

  13. jim_thompson5910
    • one year ago
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    sure thing

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