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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i would say:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = C + 26 \n" ); document.write( "T + C = 118\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that appears to be your system of equations that you need to solve this problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from these two equations, you can find kathy's weight and teresa's weight.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "46 + 72 = 118 \n" ); document.write( "72 = 46 + 26\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution looks good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Kathy's weight is 46 pounds. \n" ); document.write( "Teresa's weight is 72 pounds. \n" ); document.write( " |