![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
2x-y+8z=13
\n" ); document.write( " 3x+4y+5z=18
\n" ); document.write( " 5x-2y+7z=20
\n" ); document.write( ":
\n" ); document.write( "Using the first two equations, multiply the 1st equation by 4, add to the 2nd
\n" ); document.write( "8x - 4y + 32z = 52
\n" ); document.write( "3x + 4y + 5z = 18
\n" ); document.write( "-------------------addition eliminates y
\n" ); document.write( "11x + 37z = 70
\n" ); document.write( ":
\n" ); document.write( "using the second and third equations, multiply the third by 2
\n" ); document.write( "3x + 4y + 5z = 18
\n" ); document.write( "10x -4y + 14z = 40
\n" ); document.write( "-------------------addition eliminates y
\n" ); document.write( "13x + 19z = 58
\n" ); document.write( ":
\n" ); document.write( "We have two 2 unknown equations
\n" ); document.write( "11x + 37z = 70
\n" ); document.write( "13x + 19z = 58
\n" ); document.write( "multiply the first equation by 13, multiply the second equation by 11
\n" ); document.write( "143x + 481z = 910
\n" ); document.write( "143x + 209z = 638
\n" ); document.write( "------------------Subtraction eliminates x find z
\n" ); document.write( "0 + 272z = 272
\n" ); document.write( "z = 1
\n" ); document.write( "Find x using 13x + 19z = 58
\n" ); document.write( "13x + 19 = 58
\n" ); document.write( "13x = 58 - 19
\n" ); document.write( "13x = 39
\n" ); document.write( "x = 39/3
\n" ); document.write( "x = 3
\n" ); document.write( "find y using the very first equation 2x-y+8z=13
\n" ); document.write( "2(3) - y + 8(1) = 13
\n" ); document.write( "6 - y + 8 = 13
\n" ); document.write( "- y = 13 - 14
\n" ); document.write( "-y = -1
\n" ); document.write( "y = 1
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for yourself in the other two original equations \n" ); document.write( "