document.write( "Question 1087718: 5x-6y+4z=15
\n" ); document.write( "7x+4y-3z=19
\n" ); document.write( "2x+y+6z=46
\n" ); document.write( "

Algebra.Com's Answer #702294 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
5x-6y+4z=15
\n" ); document.write( "7x+4y-3z=19
\n" ); document.write( "2x+y+6z=46
\n" ); document.write( "
5x - 6y + 4z = 15 ------ eq (i)\r\n" );
document.write( "7x + 4y - 3z = 19 ----- eq (ii)\r\n" );
document.write( "2x + y + 6z = 46 ------ eq (iii)\r\n" );
document.write( "12x + 6y + 36z = 276 ---------- Multiplying eq (iii) by 6 -------- eq (iv)\r\n" );
document.write( "17x + 40z = 291 --------------- Adding eqs (iv) and (i) ---------- eq (v)\r\n" );
document.write( "- 8x - 4y - 24z = - 184 ------- Multiplying eq (iii) by - 4 ------ eq (vi)\r\n" );
document.write( "- x - 27z = - 165 ------------- Adding eqs (vi) and (ii) --------- eq (vii)\r\n" );
document.write( "- 17x - 459z = - 2,805 -------- Multiplying eq (vii) by 17 ------- eq (viii)\r\n" );
document.write( "- 419z = - 2,514 -------------- Adding eqs (viii) & (v)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "- x - 27(6) = - 165 ----------- Substituting 6 for z in eq (vii)\r\n" );
document.write( "- x - 162 = - 165\r\n" );
document.write( "- x = - 165 + 162\r\n" );
document.write( "- x = - 3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2(3) + y + 6(6) = 46 ---------- Substituting 3 for x, and 6 for z in eq (iii)\r\n" );
document.write( "6 + y + 36 = 46\r\n" );
document.write( "42 + y = 46\r\n" );
document.write( "y = 46 - 42\r\n" );
document.write( "\"highlight_green%28matrix%281%2C3%2C+y%2C+%22=%22%2C+4%29%29\"\r\n" );
document.write( "I wonder who besides the other person who responded, would do the problem the way he did.\r\n" );
document.write( "Who solves a system like this, by substitution, with all those MESSY, MESSY fractions? Get with it, and help the people the right way!\r\n" );
document.write( "I get confused just looking at the way he did the problem! I'm sure others feel the same way!
\n" ); document.write( "
\n" );