document.write( "Question 437525: I really need help in how to solve this word problem please:
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document.write( " Here it is: Together Fred,Sam and Joe have $31. Use a system of equations to find the amount of money that Joe has if Sam has $3 less than Fred and Joe has $1 more than Fred and Sam combined.
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Algebra.Com's Answer #302679 by unreal4evr(11)![]() ![]() ![]() You can put this solution on YOUR website! Eqn. 1: F + S + J = 31 \n" ); document.write( "Eqn. 2: S = F - 3 \n" ); document.write( "Eqn. 3: J = 1 + F + S \n" ); document.write( " \n" ); document.write( "//Subtract F and S from both sides of Eqn. 3 \n" ); document.write( "J - F - S = 1 \n" ); document.write( " \n" ); document.write( "//Rewrite to match Eqn. 1 \n" ); document.write( "-F - S + J = 1 \n" ); document.write( " \n" ); document.write( "//Add Eqn. 1 and Eqn. 3 \n" ); document.write( "   F + S + J = 31 \n" ); document.write( "+ -F - S + J = 1 \n" ); document.write( "2J = 32 \n" ); document.write( "J = 16 \n" ); document.write( " \n" ); document.write( "//Check (Get values for F and S) \n" ); document.write( "//Plug in F - 3 for S and 16 for J in Eqn 1 \n" ); document.write( "F + (F - 3) + (16) = 31 \n" ); document.write( "2F + 13 = 31 \n" ); document.write( "2F = 18 \n" ); document.write( "F = 9 \n" ); document.write( "//Use the value for F in Eqn 2 \n" ); document.write( "S = (9) - 3 \n" ); document.write( "S = 6 \n" ); document.write( "//Plug all known values back into Eqn. 1 \n" ); document.write( "(9) + (6) + (16) = 31 \n" ); document.write( "15 + 16 = 31 \n" ); document.write( "31 = 31\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |