document.write( "Question 65190: Will you please help me answer this problem?
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document.write( "Write a system of two equations in two unknowns. Solve the system by using the substitution method. « Bill and Sue together earn $76,433 per year. If Bill earns $15,000 less than twice Sue’s salary, then how much does each person earn per year? \r
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document.write( "Thank you for your assistance. \n" );
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Algebra.Com's Answer #45721 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "Write a system of two equations in two unknowns. Solve the system by using the substitution method. \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement/phrase: \n" ); document.write( "«\" Bill and Sue together earn $76,433 per year.\" \n" ); document.write( "B + S = 76433 \n" ); document.write( ": \n" ); document.write( "\"If Bill earns $15,000 less than twice Sue’s salary,\" \n" ); document.write( "B = 2*S - 15000 \n" ); document.write( ": \n" ); document.write( "then how much does each person earn per year? \n" ); document.write( ": \n" ); document.write( "Substitute(2S-15000) for B in the 1st equation: \n" ); document.write( "(2S-15000) + S = 76433 \n" ); document.write( "2S + S - 15000 = 76433 \n" ); document.write( "3S = 76433 + 15000 \n" ); document.write( "3S = 91433 \n" ); document.write( "S = 91433/3 \n" ); document.write( "S = $30,477.67 is Sue's earnings \n" ); document.write( ": \n" ); document.write( "Find Bill's earnings using the 2nd eq \n" ); document.write( "B = 2(30477.67) - 15000 \n" ); document.write( "B = 60955.33 - 15000 \n" ); document.write( "B = $45,955.33 is Bill's earnings \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions using the 1s equation: \n" ); document.write( "45955.33 + 30477.67 = 76433 \n" ); document.write( " \n" ); document.write( " |