document.write( "Question 1149574: If x varies as the square of y and inversely as z and x=12 when y=3 and z=6,find x when y=9 and z=6. \n" ); document.write( "
Algebra.Com's Answer #770914 by Edwin McCravy(20081)\"\" \"About 
You can put this solution on YOUR website!
If x varies as the square of y and inversely as z
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document.write( "Whatever comes after \"varies as\" is multiplied by k and goes on top, \r\n" );
document.write( "and what comes after \"inversely as\" goes on the bottom.\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%28k%2Ay%5E2%29%2Fz%5E%22%22%29\"
and x=12 when y=3 and z=6,
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document.write( "Substitute and solve for k\r\n" );
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document.write( "\"matrix%281%2C3%2C12%2C%22%22=%22%22%2C%28k%2A%283%29%5E2%29%2F%286%29%5E%22%22%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C12%2C%22%22=%22%22%2C%28k%2A%289%29%29%2F6%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C12%2C%22%22=%22%22%2C9k%2F6%29\"\r\n" );
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document.write( "Multiply both sides by 6\r\n" );
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document.write( "\"matrix%281%2C3%2C72%2C%22%22=%22%22%2C9k%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C8%2C%22%22=%22%22%2Ck%29\"\r\n" );
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document.write( "Substitute 8 for k in the original variation equation:\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%288%2Ay%5E2%29%2Fz%5E%22%22%29\"
find x when y=9 and z=6.
Substitute the new values for y and z\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%288%2A9%5E2%29%2F6%5E%22%22%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%2C%22%22=%22%22%2C%288%2A81%29%2F6%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2Cx%2C%22%22=%22%22%2C108%29\"\r\n" );
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document.write( "Edwin
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