document.write( "Question 1107608: 3x+4y=62 & 5x+2y=52 \n" ); document.write( "
Algebra.Com's Answer #722617 by ikleyn(52787)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( " 3x + 4y = 62, (1)\r\n" ); document.write( " 5x + 2y = 52. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To solve the system, I will use the Elimination method. For it, multiply the equation (2) by 2 (both sides).\r\n" ); document.write( "Keep equation (1) unchanged. You will get\r\n" ); document.write( "\r\n" ); document.write( " 3x + 4y = 62, (1')\r\n" ); document.write( "10x + 4y = 104. (2')\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now subtract equation (1') from equation {2'). The terms \"4y\", that are equal in both equations\r\n" ); document.write( "(that I made equal in both equations) will cancel each other, and you will get a single equation containing only one unknown \"x\"\r\n" ); document.write( "\r\n" ); document.write( "10x - 3x = 104 - 62, or\r\n" ); document.write( "\r\n" ); document.write( "7x = 42.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is how the Elimination method works.\r\n" ); document.write( "\r\n" ); document.write( "Now x =\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |