document.write( "Question 262256: solve for x, y, and z in the following systems of three equations:\r
\n" ); document.write( "\n" ); document.write( "10x+y+z=603
\n" ); document.write( "8x+2y+z=603
\n" ); document.write( "20x-10y-2z=-6
\n" ); document.write( "

Algebra.Com's Answer #193217 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
x=50 y=100 z=3\r
\n" ); document.write( "\n" ); document.write( "10x+y+z=603
\n" ); document.write( "8x+2y+z=603
\n" ); document.write( "20x-10y-2z=-6
\n" ); document.write( "we can set the first two equal to each other
\n" ); document.write( "10x+y+z=8x+2y+z
\n" ); document.write( "subtract z
\n" ); document.write( "10x+y=8x+2y
\n" ); document.write( "2x=y
\n" ); document.write( "multiply first by 2
\n" ); document.write( "20x+2y+2z=1206
\n" ); document.write( "20x-10y-2z=-6
\n" ); document.write( "subtract third from new first
\n" ); document.write( "12y+4z=1212
\n" ); document.write( "divide by 4
\n" ); document.write( "3y+z=303
\n" ); document.write( "8x+2y+z=603
\n" ); document.write( "add 300
\n" ); document.write( "3y+z+300=603
\n" ); document.write( "8x+2y+z=3y+z+300
\n" ); document.write( "8x=y+300
\n" ); document.write( "2x=y
\n" ); document.write( "8x=2x+300
\n" ); document.write( "6x=300
\n" ); document.write( "x=50
\n" ); document.write( "2x=y
\n" ); document.write( "y=100
\n" ); document.write( "3y+z=303
\n" ); document.write( "300+z=303
\n" ); document.write( "z=3
\n" ); document.write( "
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