Write the Word or Phrase That Best Completes Each Statement $$x _ { 1 } , x _ { 2 } , x _ { 3 }$$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Assume that traffic flows freely through intersections A, B, and C. The values $$x _ { 1 } , x _ { 2 } , x _ { 3 }$$ , and all other
numbers in the figure represent flow rates in vehicles per hour. a. Write an equation representing equal flow into and out of intersection A.
b. Write an equation representing equal flow into and out of intersection B.
c. Write an equation representing equal flow into and out of intersection C.
d. Write the system of equations from parts (a)-(c) in standard form.
e. Write the reduced row-echelon form of the augmented matrix representing the system of equations from
part (d).
f. If the flow rate between intersections A and C is 120 vehicles per hour, determine the flow rates $x _ { 1 }$ and $x _ { 2 }$ g. If the flow rate between intersections A and C is between 150 and 240 vehicles per hour, inclusive,
determine the flow rates $x _ { 1 } \text { and } x _ { 2 }$