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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
Problem 22P
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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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