document.write( "Question 1107608: 3x+4y=62 & 5x+2y=52 \n" ); document.write( "
Algebra.Com's Answer #722617 by ikleyn(52787)\"\" \"About 
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document.write( " 3x + 4y = 62,      (1)\r\n" );
document.write( " 5x + 2y = 52.      (2)\r\n" );
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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" );
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document.write( " 3x + 4y =  62,     (1')\r\n" );
document.write( "10x + 4y = 104.     (2')\r\n" );
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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" );
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document.write( "10x - 3x = 104 - 62,   or\r\n" );
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document.write( "7x = 42.\r\n" );
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document.write( "It is how the Elimination method works.\r\n" );
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document.write( "Now   x = \"42%2F7\" = 6.\r\n" );
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document.write( "So, you just found the value of x= 6.\r\n" );
document.write( "Now substitute this value into either of the two given/original equations and find y.   I will use equation (1):\r\n" );
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document.write( "3*6 + 4y = 62  ====>  4y = 62 - 3*6 = 44  ====>  y = \"44%2F4\" = 11.\r\n" );
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document.write( "Answer.  x= 6,  y= 11.\r\n" );
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document.write( "Check.   Check the solution on your own.\r\n" );
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