document.write( "Question 625770: 8x+2y-z=34
\n" ); document.write( "7x+3y-2z=40
\n" ); document.write( "3x-5y+z=24
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Algebra.Com's Answer #393851 by Maths68(1474)\"\" \"About 
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8x+2y-z=34...............(1)
\n" ); document.write( "7x+3y-2z=40...............(2)
\n" ); document.write( "3x-5y+z=24...............(3)\r
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\n" ); document.write( "\n" ); document.write( "Multiply (1) by -2 and add (2)
\n" ); document.write( "-16x-4y+2z=-68
\n" ); document.write( "7x+3y-2z=40
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\n" ); document.write( "-9x-y=-28...............(4)\r
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\n" ); document.write( "\n" ); document.write( "Multiply (3) by 2 and add (2)
\n" ); document.write( "7x+3y-2z=40
\n" ); document.write( "6x-10y+2z=48
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\n" ); document.write( "13x-7y=88.................(5)\r
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\n" ); document.write( "\n" ); document.write( "Multiply (4) by -7 and add (5)
\n" ); document.write( "63x+7y=196
\n" ); document.write( "13x-7y=88
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\n" ); document.write( "76x=284
\n" ); document.write( "Divide by 76 both sides of above equation
\n" ); document.write( "76x/76=284/76
\n" ); document.write( "x=71/19
\n" ); document.write( "Put the value of y in (5)
\n" ); document.write( "13x-7y=88.................(5)
\n" ); document.write( "13(71/19)-7y=88
\n" ); document.write( "13(71/19)-7y=88
\n" ); document.write( "923/19-7y=88
\n" ); document.write( "Multiply above equation by 19
\n" ); document.write( "19(923/19-7y)=19(88)
\n" ); document.write( "923-133y=1672
\n" ); document.write( "-133y=1672-923
\n" ); document.write( "-133y=749
\n" ); document.write( "Divide by -133 both sides of above equation
\n" ); document.write( "-133y/-133=749/-133
\n" ); document.write( "y=-107/19\r
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\n" ); document.write( "\n" ); document.write( "Put the value of x and y in (1)
\n" ); document.write( "8x+2y-z=34...............(1)
\n" ); document.write( "8(71/19)+2(-107/19)-z=34
\n" ); document.write( "568/19-214/19-z=34
\n" ); document.write( "-z=34-568/19+214/19
\n" ); document.write( "Take LCD on Right hand side
\n" ); document.write( "-z=(646-568+214)/19
\n" ); document.write( "-z=(860-568)/19
\n" ); document.write( "-z=292/19
\n" ); document.write( "Multiply by (-) both sides of above equation
\n" ); document.write( "z=-292/19\r
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\n" ); document.write( "\n" ); document.write( "x,y,z=71/19,-107/19,-292/19\r
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\n" ); document.write( "\n" ); document.write( "Check
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\n" ); document.write( "Put the values of x,y and z in (1)
\n" ); document.write( "8x+2y-z=34...............(1)
\n" ); document.write( "8(71/19)+2(-107/19)-(-292/19)=34
\n" ); document.write( "568/19-214/19+292/19=34
\n" ); document.write( "Take LCD
\n" ); document.write( "(568-214+292)/19=34
\n" ); document.write( "(860-214)/19=34
\n" ); document.write( "646/19=34
\n" ); document.write( "34=34\r
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\n" ); document.write( "\n" ); document.write( "Put the values of x,y and z in (2)
\n" ); document.write( "7x+3y-2z=40...............(2)
\n" ); document.write( "497/19-321/19+584/19=40
\n" ); document.write( "Take LCD
\n" ); document.write( "(497-321+584)/19=40
\n" ); document.write( "(1081-321)/19=40
\n" ); document.write( "760/19=40
\n" ); document.write( "40=40\r
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