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Algebra 2
Solve a system of equations using substitution
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
\newline
Steven and his cousin Carly are picking apples in their grandparents' orchard. Steven has filled
15
15
15
baskets with apples and is filling them at a rate of
4
4
4
baskets per hour. Carly has
11
11
11
full baskets and will continue picking at
8
8
8
baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take? How much fruit will they have picked by then?
\newline
In
_
_
_
\_\_\_
___
hours, the cousins will each have filled
_
_
_
\_\_\_
___
baskets with apples.
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Solve using substitution.
5
x
−
2
y
=
−
7
5x - 2y = -7
5
x
−
2
y
=
−
7
x
=
−
5
x = -5
x
=
−
5
(_,_)
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