document.write( "Question 62095: what is the value of t in 13t+15=9t+1 \n" ); document.write( "
Algebra.Com's Answer #42844 by Edwin McCravy(20054)\"\" \"About 
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what is the value of t in 13t+15=9t+1\r\n" );
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document.write( "       13t + 15 = 9t + 1\r\n" );
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document.write( "There are two terms on the left, +13t and +15.\r\n" );
document.write( "There are two terms on the right, +9t and +1\r\n" );
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document.write( "The terms +13t and +9t contain the letter t.\r\n" );
document.write( "The terms +15 and +1 do not contain the letter t.\r\n" );
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document.write( "The object is:\r\n" );
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document.write( "1. To get rid of all terms on the LEFT which DO NOT contain t.\r\n" );
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document.write( "AND\r\n" );
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document.write( "2. To get rid of all terms on the RIGHT which DO contain t.\r\n" );
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document.write( "So we must get rid of the +15 on the left, and we must get rid \r\n" );
document.write( "of the +9t on the right.\r\n" );
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document.write( "To get rid of a term, we add its opposite to both sides.\r\n" );
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document.write( "First we get rid of the +15 on the left.  It's opposite is -15,\r\n" );
document.write( "so put -15 under the +15 on the left and -15 under the +1, and \r\n" );
document.write( "draw a line:\r\n" );
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document.write( "       13t + 15 = 9t + 1\r\n" );
document.write( "            -15      -15\r\n" );
document.write( "      -------------------\r\n" );
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document.write( "Now we add vertically. We bring down the 13t, and since the +15\r\n" );
document.write( "and the -15 cancel out to zero we don't write anything below them.\r\n" );
document.write( "Then we bring down the = sign, and the +9t.  Then we combine the\r\n" );
document.write( "+1 and the -15 getting -14:\r\n" );
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document.write( "       13t + 15 = 9t + 1\r\n" );
document.write( "            -15      -15\r\n" );
document.write( "      --------------------\r\n" );
document.write( "       13t      = 9t - 14 \r\n" );
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document.write( "Now we get rid of the +9t on the right.  It's opposite is -9t,\r\n" );
document.write( "so put -9t under the +13t on the left and -9t under the +9t on\r\n" );
document.write( "the right, and draw a line:\r\n" );
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document.write( "       13t + 15 = 9t + 1\r\n" );
document.write( "            -15      -15\r\n" );
document.write( "      --------------------\r\n" );
document.write( "       13t      = 9t - 14 \r\n" );
document.write( "       -9t       -9t\r\n" );
document.write( "      --------------------\r\n" );
document.write( " \r\n" );
document.write( "Now we combine the 13t and the -9t getting +4t. We bring down\r\n" );
document.write( "the = sign.  The +9t and the -9t cancel and give zero, so we\r\n" );
document.write( "don't put anything under them. Then we bring down the +14\r\n" );
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document.write( "             13t + 15 = 9t + 1\r\n" );
document.write( "            -15      -15\r\n" );
document.write( "      --------------------\r\n" );
document.write( "       13t      = 9t - 14 \r\n" );
document.write( "       -9t       -9t\r\n" );
document.write( "      --------------------\r\n" );
document.write( "        4t      =     -14\r\n" );
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document.write( "Next we need to get rid of the 4 coefficient of t.  To get rid\r\n" );
document.write( "of a coefficient, we divide both sides by the coefficient 4.\r\n" );
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document.write( "             13t + 15 = 9t + 1\r\n" );
document.write( "            -15      -15\r\n" );
document.write( "      --------------------\r\n" );
document.write( "       13t      = 9t - 14 \r\n" );
document.write( "       -9t       -9t\r\n" );
document.write( "      --------------------\r\n" );
document.write( "        4t      =     -14\r\n" );
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document.write( "        4t            -14\r\n" );
document.write( "       ————    =     ————— \r\n" );
document.write( "         4             4\r\n" );
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document.write( "                      -14\r\n" );
document.write( "          t    =     —————\r\n" );
document.write( "                       4\r\n" );
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document.write( "We reduce the fraction on the right and\r\n" );
document.write( "place the negative sign in front of the\r\n" );
document.write( "fraction:\r\n" );
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document.write( "                      7\r\n" );
document.write( "          t    =   - ———\r\n" );
document.write( "                      2\r\n" );
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document.write( "Edwin
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