Answers PRICE-FL-1200340-Algebra 2 Honors B GPA 2627Solving 3 x 3 Linear Systems

Solving 3 x 3 Linear Systems Answers

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Which classification describes the following system of equations?

inconsistent and dependent

consistent and dependent

consistent and independent

inconsistent and independent

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What is the solution to the following system?

x = 10, y = 2, z = 5

x = –4, y = 2, z = 5

x = 0, y = 2, z = 5

x = 4, y = 6, z = 5

What is the solution to the following system?

(3, –1, 4)

(4, 1, 3)

(4, –1, 3)

(3, 1, 4)

What is the solution to the following system?

x = –53, y = –2, z = 7

x = –41, y = –2, z = –7

x = –11, y = –2, z = –7

x = 1, y = –2, z = 7

What is the solution to the following system?

(8, 40, 32)

(10, 2, 3)

(20, 4, 5)

(40, 8, 10)

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

none

one

three

infinitely many

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?