Question 65190
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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
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then how much does each person earn per year?
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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