document.write( "Question 629330: Solve the equation
\n" ); document.write( "2x−9y+5z=−1.\r
\n" ); document.write( "\n" ); document.write( "in the form
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\n" ); document.write( "|x| [] [] []
\n" ); document.write( "|y|= [] +[]s +[]t
\n" ); document.write( "|z| [] [] []
\n" ); document.write( " -\r
\n" ); document.write( "\n" ); document.write( "I have gotten in about 3/4 steps but seem to get stuck. Would appreciate some help.\r
\n" ); document.write( "\n" ); document.write( "Thanks! \n" ); document.write( "

Algebra.Com's Answer #396233 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "2x - 9y + 5z = -1\r\n" );
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document.write( "The smallest coefficient in absolute value is 2\r\n" );
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document.write( "Write each positive integer in terms of its nearest \r\n" );
document.write( "smaller multiple of 2\r\n" );
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document.write( "2x - (8+1)y + (4+1)z = -(0+1)\r\n" );
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document.write( "Distribute\r\n" );
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document.write( "2x - 8y - y + 4z + z = -1\r\n" );
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document.write( "Divide every term by 2\r\n" );
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document.write( "x - 4y -  + 2z +  = -\r\n" );
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document.write( "Isolate fractions on the right\r\n" );
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document.write( "x - 4y + 2z =  -  - \r\n" );
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document.write( "Let that equal to s\r\n" );
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document.write( " -  -  = s\r\n" );
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document.write( "Multiply through by 2\r\n" );
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document.write( "y - z - 1 = 2s\r\n" );
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document.write( "Solve for y:\r\n" );
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document.write( "        y = 1 + 2s + z\r\n" );
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document.write( "Let z = t\r\n" );
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document.write( "        y = 1 + 2s + t\r\n" );
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document.write( "Substitute in the original:\r\n" );
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document.write( "2x - 9y + 5z = -1\r\n" );
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document.write( "2x - 9(1 + 2s + t) + 5t = -1\r\n" );
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document.write( "2x - 9 - 18s - 9t + 5t = -1\r\n" );
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document.write( "2x - 9 - 18s - 4t = -1\r\n" );
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document.write( "2x = 8 + 18s + 4t\r\n" );
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document.write( " x = 4 + 9s + 2t\r\n" );
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document.write( "So:\r\n" );
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document.write( " x = 4 + 9s + 2t\r\n" );
document.write( " y = 1 + 2s +  t\r\n" );
document.write( " z =           t\r\n" );
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document.write( "Edwin

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