document.write( "Question 289238: Dear Professor,
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document.write( "i would very much appreciate it if you could help me solve the following algebra problem.
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document.write( "thanks
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document.write( "solve the system of equations,using substitiution or eliminationor back-substitution etc.
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document.write( "x+3y-z=13
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document.write( "2x -5z=23
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document.write( "4x-y-2z=4 \n" );
document.write( "
Algebra.Com's Answer #209569 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! x = -12/17, y = 50/17, z = -83/17 \n" ); document.write( "x+3y-z=13 \n" ); document.write( "2x -5z=23 \n" ); document.write( "4x-y-2z=4 \n" ); document.write( "multiply the first by -2 \n" ); document.write( "-2x-6y+2z=-26 \n" ); document.write( "4x-y-2z=4\r \n" ); document.write( "\n" ); document.write( "add \n" ); document.write( "2x-7y=-22\r \n" ); document.write( "\n" ); document.write( "multiply #1 by 5 \n" ); document.write( "5x+15y-5z=65 \n" ); document.write( "2x -5z=23 \n" ); document.write( "subtract \n" ); document.write( "3x+15y=42 \n" ); document.write( "divide by 3 \n" ); document.write( "x+5y=14 \n" ); document.write( "2x-7y=-22\r \n" ); document.write( "\n" ); document.write( "#1 by 2 \n" ); document.write( "2x+10y=28 \n" ); document.write( "2x-7y=-22 \n" ); document.write( "subtract \n" ); document.write( "17y=50 \n" ); document.write( "y=50/17\r \n" ); document.write( "\n" ); document.write( "2x-7y=-22 \n" ); document.write( "2x-7*50/17=-22 \n" ); document.write( "x-7*25/17=-11\r \n" ); document.write( "\n" ); document.write( "x=-12/17\r \n" ); document.write( "\n" ); document.write( "2x -5z=23 \n" ); document.write( "2*(-12/17)-5z=23 \n" ); document.write( "-24/17-5z=23*17/17 \n" ); document.write( "z=-83/17\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |