document.write( "Question 551276: One number is five more than three times a smaller one. If four times the larger number is subtracted from twice the smaller one, the result is 0. Find each of the numbers. Please help me!! \n" ); document.write( "
Algebra.Com's Answer #359589 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = the larger number \n" ); document.write( "Let b = the smaller \n" ); document.write( ": \n" ); document.write( "One number is five more than three times a smaller one. \n" ); document.write( "a = 3b + 5 \n" ); document.write( ": \n" ); document.write( "If four times the larger number is subtracted from twice the smaller one, the result is 0. \n" ); document.write( "2b - 4a = 0 \n" ); document.write( "replace a with (3b+5) \n" ); document.write( "2b - 4(3b+5) = 0 \n" ); document.write( "2b - 12b - 20 = 0 \n" ); document.write( "-10b = 20 \n" ); document.write( "b = \n" ); document.write( "b = -2 \n" ); document.write( "then \n" ); document.write( "a = 3(-2) + 5 \n" ); document.write( "a = -6 + 5 \n" ); document.write( "a = -1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out in the statement: \n" ); document.write( "\"four times the larger number is subtracted from twice the smaller one, the result is 0. \n" ); document.write( "2(-2) - 4(-1) = 0 \n" ); document.write( "-4 + 4 = 0 \n" ); document.write( " |