document.write( "Question 264863: 300x+100y+50z=800
\n" ); document.write( "20x+5y+5z=55
\n" ); document.write( "20y+44z=220 \n" ); document.write( "

Algebra.Com's Answer #194891 by JBarnum(2146) $\"\"$ $\"About$

You can put this solution on YOUR website!
These are so much fun, Use substitution to solve
\n" ); document.write( " $\"300x%2B100y%2B50z=800\"$ divide by 50 $\"6x%2B2y%2Bz=16\"$
\n" ); document.write( " $\"20x%2B5y%2B5z=55\"$ divide by 5 $\"4x%2By%2Bz=11\"$
\n" ); document.write( " $\"20y%2B44z=220\"$ divide by 4 $\"5y%2B11z=55\"$
\n" ); document.write( "Re-write the reduced equations:
\n" ); document.write( " $\"6x%2B2y%2Bz=16\"$
\n" ); document.write( " $\"4x%2By%2Bz=11\"$
\n" ); document.write( " $\"5y%2B11z=55\"$
\n" ); document.write( "------------------------
\n" ); document.write( " $\"5y%2B11z=55\"$ solve this one for \"z\"
\n" ); document.write( " $\"11z=55-5y\"$
\n" ); document.write( " $\"z=%28%2855-5y%29%2F11%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"4x%2By%2Bz=11\"$ solve for y
\n" ); document.write( " $\"4x%2By%2B%28%2855-5y%29%2F11%29=11\"$
\n" ); document.write( " $\"44x%2B11y%2B%2855-5y%29=121\"$
\n" ); document.write( " $\"44x%2B6y%2B55=121\"$
\n" ); document.write( " $\"44x%2B6y=121-55\"$
\n" ); document.write( " $\"6y=66-44x\"$
\n" ); document.write( " $\"%286y%29%2F6=%28%2866-44x%29%2F6%29\"$
\n" ); document.write( " $\"y=%28%2833-22x%29%2F3%29\"$
\n" ); document.write( ".
\n" ); document.write( " $\"6x%2B2y%2Bz=16\"$ solve for x
\n" ); document.write( " $\"6x%2B2%28%2833-22x%29%2F3%29%2B%28%2855-5%28%2833-22x%29%2F3%29%29%2F11%29=16\"$
\n" ); document.write( " $\"%286x%29%2833%29%2B22%2833-22x%29%2B%2855%29%283%29-5%2833-22x%29=%2816%29%2833%29\"$
\n" ); document.write( " $\"198x%2B726-484x%2B165-165%2B110x=528\"$
\n" ); document.write( " $\"308x-484x=528-726\"$
\n" ); document.write( " $\"-176x=-198\"$
\n" ); document.write( " $\"x=%28%28-198%29%2F%28-176%29%29\"$
\n" ); document.write( " $\"x=%2899%2F88%29\"$
\n" ); document.write( " $\"x=9%2F8\"$ x=9/8 now find \"y\"
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"y=%28%2833-22%289%2F8%29%29%2F3%29\"$
\n" ); document.write( " $\"3y%288%29=33%288%29-22%289%29%29\"$
\n" ); document.write( " $\"24y=264-198\"$
\n" ); document.write( " $\"24y%2F24=66%2F24\"$
\n" ); document.write( " $\"y=66%2F24\"$
\n" ); document.write( " $\"y=11%2F4\"$ y=11/4 now find \"z\"
\n" ); document.write( "-------------------------------
\n" ); document.write( " $\"z=%28%2855-5y%29%2F11%29\"$
\n" ); document.write( " $\"z=%28%2855-5%2811%2F4%29%29%2F11%29\"$
\n" ); document.write( " $\"44z=%2855%284%29-5%2811%29%29\"$
\n" ); document.write( " $\"44z=%28220-55%29\"$
\n" ); document.write( " $\"44z%2F44=165%2F44\"$
\n" ); document.write( " $\"z=165%2F44\"$
\n" ); document.write( " $\"z=15%2F4\"$ z=15/4 now to do a check
\n" ); document.write( "----------------------------------
\n" ); document.write( " $\"300%289%2F8%29%2B100%2811%2F4%29%2B50%2815%2F4%29=800\"$
\n" ); document.write( " $\"300%289%2F8%29%2B100%2822%2F8%29%2B50%2830%2F8%29=800\"$
\n" ); document.write( " $\"%282700%2F8%29%2B%282200%2F8%29%2B%281500%2F8%29=800\"$
\n" ); document.write( " $\"%28%282700%2B2200%2B1500%29%2F8%29=800\"$
\n" ); document.write( " $\"%286400%2F8%29=800\"$
\n" ); document.write( " $\"800=800\"$ that means its correct
\n" ); document.write( "this took me a real long time I hope it will be easy to understand. \n" ); document.write( "

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