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anonymous

  • 5 years ago

The sum of twice the larger number and the smaller number is 43. Using "L" to represent the larger number, translate and simplify the following expression in terms of L: Three times the smaller number less than the sum of the larger number and four.

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  1. anonymous
    • 5 years ago
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    The first part tells you how L and s ('s' for 'smaller') relate. 'Twice the larger and the smaller is 43' means\[2L+s=43\]The next part says, 'Three times the smaller less than the sum of the larger and four' which means\[L+4-3s\]You're told to express this last one in terms of L only (i.e. get rid of s). You use the first equation to do that. \[s=43-2L\]and so you have\[L+4-3s\]\[=L+4-3(43-2L)\]\[=L+4-129+6L\]\[=7L-125\]

  2. anonymous
    • 5 years ago
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    YES! s=43-2L then replace the s w/that!

  3. anonymous
    • 5 years ago
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    Yes.

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