document.write( "Question 41906: I was wondering if you still answer questions because i have not received and answer in a few days \r
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\n" ); document.write( "\n" ); document.write( "these were the question. it says use the substitution method to solve the linear system\r
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\n" ); document.write( "\n" ); document.write( "1. 3x-2y =4
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\n" ); document.write( "\n" ); document.write( "2. 3x+y = - 2
\n" ); document.write( " x + 3y = 2\r
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Algebra.Com's Answer #27026 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
I was wondering if you still answer questions because\r\n" );
document.write( "i have not received and answer in a few days\r\n" );
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document.write( "You'll probably recievs a faster reply if you post only\r\n" );
document.write( "ONE problem at a time.\r\n" );
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document.write( "There are different ways of solving these. This method\r\n" );
document.write( "is the substitution method.  If you want the addition\r\n" );
document.write( "method, post again and state this.\r\n" );
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document.write( "1.      3x - 2y = 4\r\n" );
document.write( "         x + 3y = 5 \r\n" );
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document.write( "Solve the second equation for x\r\n" );
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document.write( "         x + 3y = 5\r\n" );
document.write( "              x = 5 - 3y\r\n" );
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document.write( "Substitute (5-3y) for x in the first equation\r\n" );
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document.write( "        3x - 2y = 4\r\n" );
document.write( "   3(5-3y) - 2y = 4 \r\n" );
document.write( "   15 - 9y - 2y = 4\r\n" );
document.write( "       15 - 11y = 4\r\n" );
document.write( "           -11y = 4 - 15\r\n" );
document.write( "           -11y = -11\r\n" );
document.write( "              y = -11/(-11)\r\n" );
document.write( "              y = 1 \r\n" );
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document.write( "Substitute (1) for y in this equation where you\r\n" );
document.write( "solved for x above:\r\n" );
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document.write( "              x = 5 - 3y  \r\n" );
document.write( "              x = 5 - 3(1)\r\n" );
document.write( "              x = 5 - 3\r\n" );
document.write( "              x = 2 \r\n" );
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document.write( "2.      3x +  y = -2\r\n" );
document.write( "         x + 3y =  2\r\n" );
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document.write( "Solve the first equation for y\r\n" );
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document.write( "         3x + y = -2\r\n" );
document.write( "              y = -2 - 3x\r\n" );
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document.write( "Substitute (-2-3x) for y in the second equation\r\n" );
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document.write( "         x + 3y = 2\r\n" );
document.write( "   x + 3(-2-3x) = 2 \r\n" );
document.write( "     x - 6 - 9x = 2\r\n" );
document.write( "        -6 - 8x = 2\r\n" );
document.write( "            -8x = 2 + 6\r\n" );
document.write( "            -8x = 8\r\n" );
document.write( "              x = 8/(-8)\r\n" );
document.write( "              x = -1 \r\n" );
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document.write( "Substitute (-1) for x in this equation where you\r\n" );
document.write( "solved for y above:\r\n" );
document.write( "              y = -2 - 3x\r\n" );
document.write( "              y = -2 - 3(-1)  \r\n" );
document.write( "              y = -2 - 3(-1)\r\n" );
document.write( "              y = -2 + 3\r\n" );
document.write( "              y = 1\r\n" );
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document.write( "Edwin McCravy\r\n" );
document.write( "AnlytcPhil@aol.com
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