Solve each system n Exercises 5–22. It there no solution or if there are infinitely many solutions and a system’s equations ate dependent, so state. { x + y + 2 z = 11 x + y + 3 z = 14 x + 2 y − z = 5
Solve each system n Exercises 5–22. It there no solution or if there are infinitely many solutions and a system’s equations ate dependent, so state. { x + y + 2 z = 11 x + y + 3 z = 14 x + 2 y − z = 5
Solution Summary: The author explains how to calculate the solution to the system of equations cx+y+2z=11, y=3, and z = 3
In Exercises 7–10, determine the values of the parameters for which the system
has a unique solution, and describe the solution.
7. 6sx1 + 4x2
5
9x + 2sx₂ = -2
=
Three components are connected to form a system as shown
in the accompanying diagram. Because the components in
the 2–3 subsystem are connected in parallel, that subsystem
will function if at least one of the two individual components
functions. For the entire system to function, component 1
must function and so must the 2–3 subsystem
|-------2-------|
---1------>| |---------->
|-------3-------|
The experiment consists of determining the condition of each
component [S(success) for a functioning component and
F(failure) for a nonfunctioning component].
a. Which outcomes are contained in the event A that exactly
two out of the three components function?
b. Which outcomes are contained in the event B that at least two of the components function?
c. Which outcomes are contained in the event C that the system functions?
d. List outcomes in C', A U C, B U C.
An important application of systems of equations arises in
connection with supply and demand. As the price of a product
increases, the demand for that product decreases. However, at
higher prices, suppliers are willing to produce greater quantities of
the product. Exercises 97–98 involve supply and demand.
97. A chain of electronics stores sells hand-held color
televisions. The weekly demand and supply models are
given as follows:
Number sold
Demand model
per week
N = -5p + 750
Price of television
Number supplied to
the chain per week N = 2.5p.
1apow hjddns
a. How many hand-held color televisions can be sold and
supplied at $120 per television?
b. Find the price at which supply and demand are equal. At
this price, how many televisions can be supplied and sold
each week?
Chapter 3 Solutions
Intermediate Algebra for College Students (7th Edition)
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