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22-10-2014
Mathematics

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Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, and solve to find the number.

Answer :

22-10-2014

[tex]x-\ number\\\\ \frac{1}{2}x-9=4x+5\ \ \ | multiply\ by\ 2\\\\ x-18=8x+10\ \ \ | add\ 18\\\\ x=8x+28\ \ \ | subtract\ 8x\\\\ -7x=28\ \ \ | divide\ by\ -7\\\\ x=-4\\\\Searched\ number\ is\ -4.[/tex]

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