document.write( "Question 1132289: 2x+y-2z=10;3x+2y+2z=1; 5x+4y+3z=4
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Algebra.Com's Answer #749288 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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2x + y - 2z = 10
\n" ); document.write( " 3x +2y + 2z = 1
\n" ); document.write( " 5x +4y + 3z = 4
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\n" ); document.write( "Adding the 1st and 2nd equation
\n" ); document.write( " 3x +2y + 2z = 1
\n" ); document.write( " 2x + y - 2z = 10
\n" ); document.write( "------------------Addition eliminates z
\n" ); document.write( "5x + 3y = 11
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\n" ); document.write( "Multiply the 1st equation by 3, multiply the 3rd equation and add
\n" ); document.write( "6x + 3y - 6z = 30
\n" ); document.write( "10x +8y + 6z = 8
\n" ); document.write( "---------------------addition eliminates z
\n" ); document.write( "16x + 11y = 38
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\n" ); document.write( "Multipl 5x +3y = 11 by 16, multiply 16x + 11y = 38 by 5
\n" ); document.write( "80x + 48y = 176
\n" ); document.write( "80x + 55y = 190
\n" ); document.write( "----------------------Subtraction eliminates x, find y
\n" ); document.write( "0 - 7y = -14
\n" ); document.write( "y = -14/-7
\n" ); document.write( "y = + 2
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\n" ); document.write( "Find x using 5x + 3y = 11
\n" ); document.write( "5x + 3(2) = 11
\n" ); document.write( "5x = 11 - 6
\n" ); document.write( "5x = 5
\n" ); document.write( " x = 1
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\n" ); document.write( "Find z using 2x + y - 2z = 10
\n" ); document.write( "2(1) + 2 - 2z = 10
\n" ); document.write( "-2z = 10 - 4
\n" ); document.write( "z = 6/-2
\n" ); document.write( "z = -3
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\n" ); document.write( "Check solution in 3x + 2y + 2z = 1
\n" ); document.write( "3(1) + 2(2) + 2(-3) = 1
\n" ); document.write( "3 + 4 - 6 = 1
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