document.write( "Question 272223: andy and brian together have $40, brian and chris have $62 and andy and chris have $58. how much money do the three of them have together ?\r
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document.write( "a $160 b $80 c $40 d $100 e $120
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Algebra.Com's Answer #199197 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a = money that andy has. \n" ); document.write( "b = money that brian has. \n" ); document.write( "c = money that chris has.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 40 \n" ); document.write( "b + c = 62 \n" ); document.write( "a + c = 58\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use your first equation to solve for b in terms of a. \n" ); document.write( "you get b = 40-a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use your third equation to solve for c in terms of a. \n" ); document.write( "you get c = 58-a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for b and c in your second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b + c = 62 becomes: \n" ); document.write( "40-a + 58-a = 62 \n" ); document.write( "combine like terms to get: \n" ); document.write( "98 - 2a = 62 \n" ); document.write( "add 2a to both sides of this equation and subtract 62 from both sides of this equation to get: \n" ); document.write( "98 - 62 = 2a \n" ); document.write( "combine like terms to get: \n" ); document.write( "36 = 2a \n" ); document.write( "divide both sides of this equation by 2 to get: \n" ); document.write( "18 = a\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for a in the first equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 40 becomes: \n" ); document.write( "18 + b = 40 \n" ); document.write( "solve for b to get: \n" ); document.write( "b = 40-18 = 22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute for a in the third equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + c = 58 becomes: \n" ); document.write( "18 + c = 58 \n" ); document.write( "solve for c to get: \n" ); document.write( "c = 58-18 = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution should be: \n" ); document.write( "a = 18 \n" ); document.write( "b = 22 \n" ); document.write( "c = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in your original equations to see if these values are good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "original equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 40 \n" ); document.write( "b + c = 62 \n" ); document.write( "a + c = 58\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These become:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 + 22 = 40 (true) \n" ); document.write( "22 + 40 = 62 (true) \n" ); document.write( "18 + 40 = 58 (true)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Values are good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The money that all 3 of them have together is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18 + 22 + 40 = $80.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That would be selection b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |