document.write( "Question 949367: Solve the system of equations by elimination. The answer needs to be in the ordered pair of (x,y,z) form. \r
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document.write( "x + y + z = 6
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document.write( "x + 2y - z = 1
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document.write( "3x - 3y - z = -32\r
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Algebra.Com's Answer #579601 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system of equations by elimination. The answer needs to be in the ordered pair of (x,y,z) form. \n" ); document.write( "x + y + z = 6 (eq1) \n" ); document.write( "x + 2y - z = 1 (eq2 \n" ); document.write( "3x - 3y - z = -32 (eq)3 \n" ); document.write( "*** \n" ); document.write( "x + y + z = 6 (eq1) \n" ); document.write( "x + 2y - z = 1 (eq2) \n" ); document.write( "add to eliminate z \n" ); document.write( "2x+3y=7 \n" ); document.write( ".. \n" ); document.write( "x + 2y - z = 1 (eq2) \n" ); document.write( "3x - 3y - z = -32 (eq3) \n" ); document.write( "subtract to eliminate z \n" ); document.write( "-2x+5y=33 \n" ); document.write( ".. \n" ); document.write( "-2x+5y=33 \n" ); document.write( "2x+3y=7 \n" ); document.write( "add to eliminate x \n" ); document.write( "8y=40 \n" ); document.write( "y=5 \n" ); document.write( "2x=7-3y=7-15=-8 \n" ); document.write( "x=-4 \n" ); document.write( "z=6-x-y=6+4-5=5 \n" ); document.write( "solution:(x,y,z)=(-4,5,5) \n" ); document.write( " \n" ); document.write( " |