Math finite, I just need the correct answer

Mathematics
Tutor: None Selected Time limit: 1 Day

Please tell me the correct answer

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

Hello, 

I'd really like to help! Do you have maybe a picture with some problems on it? 

Thank you! 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 20th, 2015

We're going to set up the system of equations based on each intersection, where traffic out will equal traffic in:
x = April, y = Division, z = Broadway, and w = Embankment

At intersection of April and Broadway:
Equation 1) 300 = x + z

Intersection of April and Division:
Equation 2) x = 100 + y

Broadway and Embankment
Equation 3) z + 100 = w

Embankment and Division:
Equation 4) w + y = 300

Then start solving the system of equations by substituting in the variables within each equation:

Plug equation 2 into equation 1: 
300 = 100 + y + z
200 = y + z

Plug equation 3 into the above equation: 
200 = y + w – 100
300 = y + w

This equation is the same as equation 4, which means effectively we have 4 unknowns (w, x, y, z), and 3 equations. So, we will express answers in terms of w (Embankment). Remember that you can plug in the values for 'w' at the end to see if the values you got were correct. 

Solve for x, y, and z in terms of w
From using equation 1: 
x = 300 – z
And then, substitute equation 3 into above, where (z = w – 100):

x = 300 – (w – 100)

x = 300 – w + 100

x = 400 – w

Using equation 2 to solve for 'y': 
y = x – 100
y = 400 – w – 100
y = 300 – w

For z value:
z = w – 100

w = w

(x, y, z) = (400 – w, 300 – w, w – 100)

Let me know if you have any other concerns! Thanks again! 

Sep 20th, 2015

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