document.write( "Question 706535: Solve each system
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #435263 by Edwin Parker(36)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "We clear each of fractions:\r\n" );
document.write( "\r\n" );
document.write( "Clearing the first of fractions by multiplying\r\n" );
document.write( "through by LCD of 6\r\n" );
document.write( "\r\n" );
document.write( "(x+2) - 2(y+4) + z = 0\r\n" );
document.write( "\r\n" );
document.write( "and simplifying:\r\n" );
document.write( "\r\n" );
document.write( "x + 2 - 2y - 4 + z = 0\r\n" );
document.write( "x - 2y + z - 2 = 0\r\n" );
document.write( "x - 2y + z = 2\r\n" );
document.write( "\r\n" );
document.write( "Clearing the second of fractions by multiplying\r\n" );
document.write( "through by LCD of 4\r\n" );
document.write( "2(x+1) + 2(y-1) - z = 18,\r\n" );
document.write( "\r\n" );
document.write( "and simplifying:\r\n" );
document.write( "\r\n" );
document.write( "2x + 2 + 2y - 2 - z = 18\r\n" );
document.write( "2x + 2y - z = 18\r\n" );
document.write( "\r\n" );
document.write( "Clearing the third equation of fractions \r\n" );
document.write( "by multiplying through by LCD of 4\r\n" );
document.write( "(x-5) + 4(y+1) + 2(z-2) = 19\r\n" );
document.write( "\r\n" );
document.write( "and simplifying:\r\n" );
document.write( "\r\n" );
document.write( "x - 5 + 4y + 4 + 2z - 4 = 19\r\n" );
document.write( "x + 4y + 2z - 5 = 19\r\n" );
document.write( "x + 4y + 2z = 24\r\n" );
document.write( "\r\n" );
document.write( "Now the system is simple enough for you to solve:\r\n" );
document.write( "\r\n" );
document.write( "\"system%28x+-+2y+%2B+z+=+2%2C2x+%2B+2y+-+z+=+18%2Cx+%2B+4y+%2B+2z+=+24%29\" \r\n" );
document.write( "\r\n" );
document.write( "Solve that and get (x,y,z) = (\"20%2F3\",\"10%2F3\",2)\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );