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The 8th grade shop class decided to make stools and chairs for their woodworking project. Each stool had 3 legs and each chair had 4 legs. They completed 7 all together and used 24 legs for the project.
The system of linear equations x + y = 7 and 3x + 4y = 24 represents the problem, where x is the number of stools and y is the number of chairs.
To graph this system of equations, there are two methods we can use – tables or x and y intercepts.
1. Tables – complete the following tables and find the solution. (4 points)
x + y = 7 3x + 4y
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OpenStudy (anonymous):
i would really like the help. plus my bro will give you a medal and fan.
OpenStudy (anonymous):
@Mertsj could you help me?
OpenStudy (mertsj):
It says to complete the following tables. Where are the tables?
OpenStudy (anonymous):
x y
1 6
2 5
3 4
4 3
X
2 dk
4 dk
6 dk
8 dk
OpenStudy (anonymous):
@Mertsj
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OpenStudy (mertsj):
Solve the second equation for y
OpenStudy (anonymous):
how do i solve it? @Mertsj
OpenStudy (anonymous):
just give me the way to solve it dont give me the answer tho.
OpenStudy (mertsj):
1. Subtract 3x from both sides
2. Divide both sides by 4
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
on the table @Mertsj
OpenStudy (anonymous):
do i start with 2 on the table
OpenStudy (mertsj):
Write this equation on your paper:
3x+4y=24
OpenStudy (anonymous):
ok
OpenStudy (mertsj):
Subtract 3x from both sides
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