document.write( "Question 321336: I need some help with Gaussian elimination for equation systems:\r
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document.write( "x+y-z=3
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document.write( "-x+2y+5z=-17
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document.write( "3x+5y+4z=-22\r
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document.write( "x= y= z= \n" );
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Algebra.Com's Answer #230241 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! use the -z in the 1st eqn to eliminate the z terms in the 2nd and 3rd eqns\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply 1st by 5 and add to second ___ (A) ___ 4x + 7y = -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply 1st by 4 and add to 3rd ___ (B) ___ 7x + 9y = -10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply (A) by -7 and add to 4 times (B) ___ -13y = -26 ___ y = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute to find x ___ 4x + 7(2) = -2 ___ x = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute to find z ___ (-4) + (2) - z = 3 ___ z = -5 \n" ); document.write( " |