document.write( "Question 445381: What are the solutions to\r
\n" ); document.write( "\n" ); document.write( "6x+3y+z=19
\n" ); document.write( "x-3y+2z=21
\n" ); document.write( "17x-2y+3z=86 \n" ); document.write( "

Algebra.Com's Answer #853347 by MathTherapy(10586) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "What are the solutions to\r\n" );
document.write( "\r\n" );
document.write( "6x+3y+z=19\r\n" );
document.write( "x-3y+2z=21\r\n" );
document.write( "17x-2y+3z=86\r\n" );
document.write( "\r\n" );
document.write( " 6x + 3y +   z =  19 ----- eq (i)\r\n" );
document.write( "  x - 3y +  2z =  21 ----- eq (ii)\r\n" );
document.write( "17x - 2y +  3z =  86 ----- eq (iii)\r\n" );
document.write( "      7x +  3z =  40 ----- Adding eqs (i) & (ii) --- eq (iv)\r\n" );
document.write( " 2x - 6y +  4z =  42 -- Multiplying eq (ii) by 2 --- eq (v)\r\n" );
document.write( "51x - 6y +  9z = 258 -- Multiplying eq (iii) by 3 -- eq (vi)\r\n" );
document.write( "     49x +  5z = 216 ---- Subtracting eq (v) from eq (vi) ----- (vii)\r\n" );
document.write( "     49x + 21z = 280 ---- Multiplying eq (iv) by 7 --- eq (viii)\r\n" );
document.write( "           16z =  64 ---- Subtracting eq (vii) from eq (viii) \r\n" );
document.write( "            \r\n" );
document.write( "\r\n" );
document.write( "     7x +  3z  = 40 ---- eq (iv)\r\n" );
document.write( "     7x + 3(4) = 40 ---- Substituting 4 for z in eq (iv)\r\n" );
document.write( "       7x + 12 = 40\r\n" );
document.write( "            7x = 28\r\n" );
document.write( "            \r\n" );
document.write( "\r\n" );
document.write( "x - 3y +  2z   = 21 ----- eq (ii)\r\n" );
document.write( "4 - 3y +  2(4) = 21 ----- eq (ii) --- Substituting 4 for x, and 4 for z in eq (ii)\r\n" );
document.write( "    4 - 3y + 8 = 21\r\n" );
document.write( "     - 3y + 12 = 21\r\n" );
document.write( "          - 3y = 9\r\n" );
document.write( "            \r\n" );
document.write( " \r\n" );
document.write( "

\n" ); document.write( "

\n" );