document.write( "Question 632979: 4x-y=5
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document.write( "9x-2y=13 \n" );
document.write( "
Algebra.Com's Answer #398639 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! 4x-y=5 \n" ); document.write( "9x-2y=13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x - y = 5 (1)\r \n" ); document.write( "\n" ); document.write( "9x - 2y = 13 (2)\r \n" ); document.write( "\n" ); document.write( "Let's take the first equation:\r \n" ); document.write( "\n" ); document.write( "4x - y = 5\r \n" ); document.write( "\n" ); document.write( "Add y to each side of the equation.\r \n" ); document.write( "\n" ); document.write( "4x - y + y = 5 + y\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "-y + y = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "4x = 5 + y\r \n" ); document.write( "\n" ); document.write( "Divide each side by 4\r \n" ); document.write( "\n" ); document.write( "4x/x = (5 + y)/4\r \n" ); document.write( "\n" ); document.write( "x = (5 + y)/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute x = (5 + y)/4 into the second equation:\r \n" ); document.write( "\n" ); document.write( "9x - 2y = 13\r \n" ); document.write( "\n" ); document.write( "9(5 + y)/4 - 2y = 13\r \n" ); document.write( "\n" ); document.write( "Multiply each item above by 4\r \n" ); document.write( "\n" ); document.write( "9(5 + y)/4 * 4 - 2y * 4 = 13 * 4\r \n" ); document.write( "\n" ); document.write( "9(5 + y)/4 * 4 = 9(5 + y)\r \n" ); document.write( "\n" ); document.write( "9 * 5 = 45\r \n" ); document.write( "\n" ); document.write( "9 * y = 9y\r \n" ); document.write( "\n" ); document.write( "-2y * 4 = -8y\r \n" ); document.write( "\n" ); document.write( "13 * 4 = 52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "45 + 9y - 8y = 52\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "9y - 8y = 1y\r \n" ); document.write( "\n" ); document.write( "45 - 1y = 52\r \n" ); document.write( "\n" ); document.write( "Subtract 45 from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "45 - 1y - 45 = 52 - 45\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "45 - 45 = 0\r \n" ); document.write( "\n" ); document.write( "52 - 45 = 7\r \n" ); document.write( "\n" ); document.write( "1y = 7 or\r \n" ); document.write( "\n" ); document.write( "y = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute y = 7 into equation 1\r \n" ); document.write( "\n" ); document.write( "4x - y = 5\r \n" ); document.write( "\n" ); document.write( "4x - 7 = 5\r \n" ); document.write( "\n" ); document.write( "Add 7 to each side of the equation.\r \n" ); document.write( "\n" ); document.write( "4x - 7 + 7 = 5 + 7\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "-7 + 7 = 0\r \n" ); document.write( "\n" ); document.write( "5 + 7 = 12\r \n" ); document.write( "\n" ); document.write( "4x = 12\r \n" ); document.write( "\n" ); document.write( "Divide each side by 4\r \n" ); document.write( "\n" ); document.write( "4x/4 = 12/4\r \n" ); document.write( "\n" ); document.write( "x = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The Answer:\r \n" ); document.write( "\n" ); document.write( "x = 3\r \n" ); document.write( "\n" ); document.write( "y = 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lennox Obuong \n" ); document.write( "Algebra Student \n" ); document.write( "Email: obuong3@aol.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |