Modeling with Linear Systems

Question 1

Which system is independent and inconsistent?

Revolt · Accepted Answer

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Question 2

What is the solution to the following system?

Revolt · Accepted Answer

(4, –1, 3)

Question 3

Several customers order small fruit baskets filled with apples, bananas, and oranges. Let a represent the price per pound of apples, b represent the price per pound of bananas, and c represent the price per pound of oranges. The system represents the number of pounds of each type of fruit and the total price of each fruit basket. How much per pound does each type of fruit cost?

Revolt · Accepted Answer

apples: $2.00/lb, bananas: $0.50/lb, and oranges: $3.00

Question 4

What is the solution to the following system?

Revolt · Accepted Answer

x = 0, y = 2, z = 5

Question 5

A system of three linear equations in three variables is inconsistent. How many solutions to the system exist?

Revolt · Accepted Answer

none

Question 6

Which classification describes the following system of equations?

Revolt · Accepted Answer

inconsistent and independent

Question 7

What is the solution to the following system?

Revolt · Accepted Answer

(20, 4, 5)

Question 8

Which classification describes the following system of equations?

Revolt · Accepted Answer

consistent and independent

Question 9

Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Revolt · Accepted Answer

The system can be either independent or dependent.

Question 10

A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist?

Revolt · Accepted Answer

infinitely many

Modeling with Linear Systems Answers

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