Solve the linear system by the Gauss-Jordan elimination method: -2x - 3y + 2z = -2 x + y = 3 -x-3y + 5z = 8 1. 3. x + 2y = 1 - 2x - 4y = 6 2. Set up a system of equations that could be used to solve the following: "A one-pound mixture of nuts contains cashews (60 per ounce), almonds (40¢ per ounce), and walnuts (70¢ per ounce) and costs $8.90. The mixture contains the same weight of cashews as walnuts. How many ounces of each type of nut does the mixture contain?"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the linear system by the Gauss-Jordan elimination method:
-2x - 3y + 2z = -2
x + y
= 3
-x - 3y+ 5z = 8
1.
3.
x + 2y = 1
3
-2x - 4y = 6
2.
Set up a system of equations that could be used to solve
the following: "A one-pound mixture of nuts contains
cashews (60¢ per ounce), almonds (40¢ per ounce), and
walnuts (70 per ounce) and costs $8.90. The mixture
contains the same weight of cashews as walnuts. How
many ounces of each type of nut does the mixture
contain?"
Transcribed Image Text:Solve the linear system by the Gauss-Jordan elimination method: -2x - 3y + 2z = -2 x + y = 3 -x - 3y+ 5z = 8 1. 3. x + 2y = 1 3 -2x - 4y = 6 2. Set up a system of equations that could be used to solve the following: "A one-pound mixture of nuts contains cashews (60¢ per ounce), almonds (40¢ per ounce), and walnuts (70 per ounce) and costs $8.90. The mixture contains the same weight of cashews as walnuts. How many ounces of each type of nut does the mixture contain?"
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