document.write( "Question 1067597: The sum of Teresa's and Kathy's weight is 118 pounds. Teresa weighs 26 pounds more than Kathy. If Teresa's weight is T and Kathy's weight is C, which of these systems of equations best represents this relationship? Show your work \n" ); document.write( "
Algebra.Com's Answer #682730 by Theo(13342)\"\" \"About 
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T = teresa's weight
\n" ); document.write( "C = kathy's weight.
\n" ); document.write( "Teresa weighs 26 more pounds than kathy.
\n" ); document.write( "T = C + 26\r
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\n" ); document.write( "\n" ); document.write( "i would say:\r
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\n" ); document.write( "\n" ); document.write( "T = C + 26
\n" ); document.write( "T + C = 118\r
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\n" ); document.write( "\n" ); document.write( "that appears to be your system of equations that you need to solve this problem.\r
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\n" ); document.write( "\n" ); document.write( "from these two equations, you can find kathy's weight and teresa's weight.\r
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\n" ); document.write( "\n" ); document.write( "since T = C + 26 from the first equation, replace T with C + 26 in the second equation to get:\r
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\n" ); document.write( "\n" ); document.write( "T + C = 118 becomes C + 26 + C = 118
\n" ); document.write( "combine like terms to get 2C + 26 = 118
\n" ); document.write( "subtract 26 from both sides of the equation to get 2C = 118 - 26
\n" ); document.write( "combine like terms to get 2C = 92
\n" ); document.write( "solve for C to get C = 46
\n" ); document.write( "since T = C + 26, then T = 72\r
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\n" ); document.write( "\n" ); document.write( "46 + 72 = 118
\n" ); document.write( "72 = 46 + 26\r
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\n" ); document.write( "\n" ); document.write( "solution looks good.\r
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\n" ); document.write( "\n" ); document.write( "Kathy's weight is 46 pounds.
\n" ); document.write( "Teresa's weight is 72 pounds.
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