Question 65190: Will you please help me answer this problem?
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?
Thank you for your assistance.
Found 2 solutions by ankor@dixie-net.com, stanbon:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! :
Write a system of two equations in two unknowns. Solve the system by using the substitution method.
:
Write an equation for each statement/phrase:
«" Bill and Sue together earn $76,433 per year."
B + S = 76433
:
"If Bill earns $15,000 less than twice Sue’s salary,"
B = 2*S - 15000
:
then how much does each person earn per year?
:
Substitute(2S-15000) for B in the 1st equation:
(2S-15000) + S = 76433
2S + S - 15000 = 76433
3S = 76433 + 15000
3S = 91433
S = 91433/3
S = $30,477.67 is Sue's earnings
:
Find Bill's earnings using the 2nd eq
B = 2(30477.67) - 15000
B = 60955.33 - 15000
B = $45,955.33 is Bill's earnings
:
:
Check our solutions using the 1s equation:
45955.33 + 30477.67 = 76433
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! 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?
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B+S=76433
B+15000=2S
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B+S=76433
B-2S=-15000
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Subtract 2nd from 1st to get:
3S=91433
S=30477.77 (Sue's salary)
B=76433-30477.77=$45955.23 (Bill's salary)
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Cheers,
Stan H.
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