SOLUTION: Addison worked 11 more hours this week than last week. In total, she worked 69 hours this week and last week. Using the equation 2h + 11 = 69, how many hours (h) did Addison work

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Question 925338: Addison worked 11 more hours this week than last week. In total, she worked 69 hours this week and last week. Using the equation 2h + 11 = 69, how many hours (h) did Addison work last week?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = hours worked last week
y = hours worked this week
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x + y = 69
y = x + 11
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put the system of linear equations into standard form
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x + y = 69
x - y = -11
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = hours worked last week = 29
y = hours worked this week = 40
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how did the problem statement arrive at the equation: 2h + 11 = 69 ???
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h = hours worked last week
y = hours worked this week
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h + y = 69
y = h + 11
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substituting y in the first equation with h + 11:
h + h + 11 = 69
2h + 11 = 69
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solving for h:
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2h = 58
h = 58/2
h = 29
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