document.write( "Question 1124158: The sum of three numbers is 10. The sum of twice the first​ number, 4 times the second​ number, and 5 times the third number is 33. The difference between 6 times the first number and the second number is 19. Find the three numbers.\r
\n" ); document.write( "\n" ); document.write( "first​ number:\r
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\n" ); document.write( "\n" ); document.write( "third​ number:\r
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\n" ); document.write( "\n" ); document.write( "**** No decimal number it has to be a whole number for the answer*****
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Algebra.Com's Answer #740524 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "let’s three numbers be \"x\", \"y\", and \"z\"\r
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\n" ); document.write( "\n" ); document.write( "if the sum of three numbers is \"10\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2By%2Bz=10\"........eq.1\r
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\n" ); document.write( "\n" ); document.write( "if the sum of \"twice\" the first​ number, \"4\" times the second​ number, and \"5\" times the third number is \"33\", we have\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B4y%2B5z=33\"........eq.2\r
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\n" ); document.write( "\n" ); document.write( "if the \"difference\" between \"6\" times the first number and the second number is \"19\", we have\r
\n" ); document.write( "\n" ); document.write( "\"6x-y=19\"..............eq.3 ....solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=6x-19\"..........eq.a \r
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\n" ); document.write( "\n" ); document.write( "go to \"2x%2B4y%2B5z=33\"........eq.2, substitute \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%2B4%286x-19%29%2B5z=33\"
\n" ); document.write( "\"2x%2B24x-76%2B5z=33\"
\n" ); document.write( "\"26x%2B5z=33%2B76\"
\n" ); document.write( "\"26x%2B5z=109\"....solve for \"z\"
\n" ); document.write( "\"5z=109-26x\"
\n" ); document.write( "\"z=%28109-26x%29%2F5\".........eq.b\r
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\n" ); document.write( "\n" ); document.write( "go to \"x%2By%2Bz=10\"........eq.1 substitute \"y\" and \"z\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B6x-19%2B%28109-26x%29%2F5=10\"....solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B30x-19%2A5%2B%28109-26x%29=10%2A5\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%2B30x-95%2B109-26x=50\"\r
\n" ); document.write( "\n" ); document.write( "\"35x-26x=50%2B95-109\"\r
\n" ); document.write( "\n" ); document.write( "\"9x=145-109\"\r
\n" ); document.write( "\n" ); document.write( "\"x=36%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=4%29\"\r
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\n" ); document.write( "\n" ); document.write( "go to \"y=6x-19\"..........eq.a , plug in \"4\" for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"y=6%2A4-19\"
\n" ); document.write( "\"y=24-19\"
\n" ); document.write( "\"highlight%28y=5%29\"\r
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\n" ); document.write( "\n" ); document.write( "go to \"z=%28109-26x%29%2F5\".........eq.b , plug in \"4\" for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"z=%28109-26%2A4%29%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"z=%28109-104%29%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"z=5%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28z=1%29\"\r
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