Solve each of the following problems by setting up and solving a system of three linear equations in three variables. Five pounds of potatoes, 1 pound of onions, and 2 pounds of apples cost $5.12. Two pounds of potatoes, 3 pounds of onions, and 4 pounds of apples cost $7.14. Three pounds of potatoes, 4 pounds of onions, and 1 pound of apples cost $5.96. Find the price per pound for each item.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.2: Systems Of Three Linear Equations In Three Variables
Problem 21PS
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Solve each of the following problems by setting up and solving a system of three linear equations in three variables. Five pounds of potatoes, 1 pound of onions, and 2 pounds of apples cost $5.12. Two pounds of potatoes, 3 pounds of onions, and 4 pounds of apples cost $7.14. Three pounds of potatoes, 4 pounds of onions, and 1 pound of apples cost $5.96. Find the price per pound for each item.

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