document.write( "Question 46374: (question 1) Added to 5X+7Y-19Z to get 7X-7Y-15Z?\r
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Algebra.Com's Answer #30761 by AnlytcPhil(1807) $\"\"$ $\"About$
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document.write( "(question 1)\r\n" );
document.write( "What must be added to 5X+7Y-19Z to get 7X-7Y-15Z?\r\n" );
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document.write( "Let W be the answer.  Then \r\n" );
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document.write( "5X+7Y-19Z PLUS W MUST EQUAL 7X-7Y-15Z\r\n" );
document.write( "    ß      ß   ß     ß          ß \r\n" );
document.write( "5X+7Y-19Z  +   W     =      7X-7Y-15Z\r\n" );
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document.write( "   5X + 7Y - 19Z + W = 7X - 7Y - 15Z\r\n" );
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document.write( "Add -5X to both sides\r\n" );
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document.write( "   5X + 7Y - 19Z + W = 7X - 7Y - 15Z\r\n" );
document.write( "  -5X                 -5X\r\n" );
document.write( " ------------------------------------\r\n" );
document.write( "        7Y - 19Z + W = 2X - 7Y - 15Z\r\n" );
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document.write( "Add -7Y to both sides\r\n" );
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document.write( "        7Y - 19Z + W = 2X -  7Y - 15Z \r\n" );
document.write( "       -7Y                  -7Y\r\n" );
document.write( "      --------------------------------\r\n" );
document.write( "            -19Z + W = 2X - 14Y - 15Z \r\n" );
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document.write( "            -19Z + W = 2X - 14Y - 15Z\r\n" );
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document.write( "Add +19Z to both sides\r\n" );
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document.write( "            -19Z + W = 2X - 14Y - 15Z\r\n" );
document.write( "            +19Z                + 19Z\r\n" );
document.write( "          -----------------------------\r\n" );
document.write( "                   W = 2X - 14Y +  4Z\r\n" );
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document.write( "So the answer is 2X - 14Y + 4Z\r\n" );
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document.write( "=============================================\r\n" );
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document.write( "(question 2)\r\n" );
document.write( "What must be subtracted from 3A+4B²-5C to give 2A+3B²+5C\r\n" );
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document.write( "Let W be the answer.  Then \r\n" );
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document.write( "3A+4B²-5C MINUS W MUST EQUAL 2A+3B²+5C\r\n" );
document.write( "    ß       ß   ß     ß         ß \r\n" );
document.write( "3A+4B²-5C   -   W     =      2A+3B²+5C\r\n" );
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document.write( "    3A + 4B² - 5C - W = 2A + 3B² + 5C\r\n" );
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document.write( "Add -3A to both sides\r\n" );
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document.write( "    3A + 4B² - 5C - W = 2A + 3B² + 5C\r\n" );
document.write( "   -3A                 -3A\r\n" );
document.write( " ---------------------------------------\r\n" );
document.write( "         4B² - 5C - W = -A + 3B² + 5C\r\n" );
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document.write( "Add -4B² to both sides\r\n" );
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document.write( "         4B² - 5C - W = -A + 3B² + 5C\r\n" );
document.write( "        -4B²                -4B²\r\n" );
document.write( "      ---------------------------------\r\n" );
document.write( "              -5C - W = -A -  B² + 5C\r\n" );
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document.write( "Add +5C to both sides:\r\n" );
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document.write( "              -5C - W = -A - B² +  5C\r\n" );
document.write( "              +5C                 +5C\r\n" );
document.write( "            ----------------------------\r\n" );
document.write( "                   -W = -A - B² + 10C       \r\n" );
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document.write( "We want W not -W, so we multiply both sides by -1\r\n" );
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document.write( "                -1(-W) = -1(-A - B² + 10C)         \r\n" );
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document.write( "                    W  = A + B² - 10C                   \r\n" );
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document.write( "So the answer is A + B² - 10\r\n" );
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document.write( "Edwin
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