document.write( "Question 1002469:  3x+2y-8z=29
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document.write( "9x-y+2z=23
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document.write( "-x-2y+8z=-11 \n" );
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| Algebra.Com's Answer #619448 by mananth(16946)     You can put this solution on YOUR website! 3 x + 2 y + -8 z = 29 -------------- 1 \n" ); document.write( "9 x + -1 y 2 z = 23 -------------- 2 \n" ); document.write( "-1 x + -2 y + 8 z -11 -------------- 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 2 4 \n" ); document.write( "we get \n" ); document.write( "3 x + 2 y + -8 z = 29 \n" ); document.write( "18 x + -2 y + 4 z = 46 \n" ); document.write( "Add the two \n" ); document.write( "21 x + 0 y + -4 z = 75 ------------- 4 \n" ); document.write( "consider equation 2 & 3 Eliminate y \n" ); document.write( "Multiply 2 by -2 \n" ); document.write( "Multiply 3 by 1 \n" ); document.write( "we get \n" ); document.write( "-18 x + 2 y + -4 z = -46 \n" ); document.write( "-1 x + -2 y + 8 z = -11 \n" ); document.write( "Add the two \n" ); document.write( "-19 x + 0 y + 4 z = -57 -------------5 5 \n" ); document.write( "Consider (4) & (5) Eliminate x \n" ); document.write( "Multiply 4 by 19 \n" ); document.write( "Multiply (5) by 21 \n" ); document.write( "we get \n" ); document.write( "399 x + -76 z = 1425 \n" ); document.write( "-399 x + 84 z = -1197 \n" ); document.write( "Add the two \n" ); document.write( "0 x + 8 z = 228 \n" ); document.write( "/ 8 \n" ); document.write( "z = 28.50 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Plug the value of z in (5) \n" ); document.write( "-19 x + 4 z = -57 \n" ); document.write( "-19 x = -171 \n" ); document.write( "x = 9 \n" ); document.write( "plug value of x & z in 1 \n" ); document.write( "27 + 2 y + -228 = 29 \n" ); document.write( "2 y = 29 + -27 + 228 \n" ); document.write( "y = 115 \n" ); document.write( " \n" ); document.write( "x= 9.00 ,y= 115.00 ,z= 28.50 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |