SOLUTION: Hello! I need assistance with the following problem. Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. Hurst's Feed & Seed sold to one customer

Question 800205: Hello! I need assistance with the following problem.
Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.
Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 bushels of corn, and 3 bushels of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 bushels of corn, and 5 bushels of rye for $27.60. To a third customer he sold 3 bushels of wheat, 5 bushels of corn, and 2 bushels of rye for $32.70. Write down the system of equations and the augmented matrix needed to solve this problem. Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel of rye.
Thank you so much! Have a wonderful day! :-)
Christina
Found 2 solutions by stanbon, rothauserc:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 bushels of corn, and 3 bushels of rye, for $31.00.
Value Eq:: 5x + 2y + 3z = 31
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To another customer he sold 2 bushels of wheat, 3 bushels of corn, and 5 bushels of rye for $27.60.
Value Eq: 2x + 3y + 5z = 27.6
-------
To a third customer he sold 3 bushels of wheat, 5 bushels of corn, and 2 bushels of rye for $32.70.
Value Eq: 3x + 5y + 2z = 32.7
=====================================
Write down the system of equations and the augmented matrix needed to solve this problem.
----
Note:
I get x = $3.61
y = $3.61
z = $1.91
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Equations
5x +2y +3z = 31.00
2x +3y +5z = 27.60
3x +5y +2z = 32.70
Augmented matrix
5 2 3 | 31.00
2 3 5 | 27.60
3 5 2 | 32.70

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