document.write( "Question 907663: Solve this system of equations:\r
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document.write( "6x+2y+4z=2
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document.write( "3x+4y-8z=-3
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document.write( "-3x-6y+12z=5 \n" );
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Algebra.Com's Answer #550479 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 6 x + 4 y + 2 z = 2 --------------1 \n" ); document.write( "3 x + 4 y -8 z = -3 --------------2 \n" ); document.write( "-3 x + -6 y + 12 z = 5 --------------3 \n" ); document.write( " \n" ); document.write( "consider equation 1 &2 Eliminate y \n" ); document.write( "Multiply 1 by -1 -5 \n" ); document.write( "Multiply 2 by 1 4 \n" ); document.write( "we get \n" ); document.write( "-6 x + -4 y + -2 z = -2 \n" ); document.write( "3 x + 4 y + -8 z = -3 \n" ); document.write( "Add the two \n" ); document.write( "-3 x + 0 y + -10 z = -5 ------------- 4 \n" ); document.write( "consider equation 2 & 3 Eliminate y \n" ); document.write( "Multiply 2 by 3 \n" ); document.write( "Multiply 3 by 2 \n" ); document.write( "we get \n" ); document.write( "9 x + 12 y + -24 z = -9 \n" ); document.write( "-6 x + -12 y + 24 z = 10 \n" ); document.write( "Add the two \n" ); document.write( "3 x + 0 y + 0 z = 1 -------------5 5 \n" ); document.write( "Consider (4) & (5) Eliminate x \n" ); document.write( "Multiply 4 by 1 \n" ); document.write( "Multiply (5) by 1 \n" ); document.write( "we get \n" ); document.write( "-3 x + -10 z = -5 \n" ); document.write( "3 x + 0 z = 1 \n" ); document.write( "Add the two \n" ); document.write( "0 x + -10 z = -4 \n" ); document.write( "/ -10 \n" ); document.write( "z = 2/ 5 \n" ); document.write( "3 x + 0 z= 1 \n" ); document.write( "3 x + 0 = 1 \n" ); document.write( " x = 1/ 3 \n" ); document.write( "Plug x & z in eq (1) \n" ); document.write( "6 x + 4 y + 2 z = 2 -------------- \n" ); document.write( " 2 + 4 y + 4/ 5 = 2 \n" ); document.write( " 4 y = - 4/ 5 \n" ); document.write( " y = - 1/ 5 \n" ); document.write( " x= 1/ 3 y= - 1/ 5 z= 2/ 5 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |