document.write( "Question 65190: Will you please help me answer this problem?
\n" ); 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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Algebra.Com's Answer #45721 by ankor@dixie-net.com(22740)\"\" \"About 
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:
\n" ); document.write( "Write a system of two equations in two unknowns. Solve the system by using the substitution method.
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\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
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\n" ); document.write( "\"If Bill earns $15,000 less than twice Sue’s salary,\"
\n" ); document.write( "B = 2*S - 15000
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\n" ); document.write( "then how much does each person earn per year?
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\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
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\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( ":
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\n" ); document.write( "Check our solutions using the 1s equation:
\n" ); document.write( "45955.33 + 30477.67 = 76433
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