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Determine whether the following system of equations are consistency or not, clearlyshowing your workings2๐‘ฅ โˆ’ ๐‘ฆ + 7๐‘ง = 24๐‘ฅ + 2๐‘ฆ + 2๐‘ง = 53๐‘ฅ + ๐‘ฆ + 3๐‘ง = 1

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Determine whether the following system of equations are consistency or not, clearlyshowing your workings2๐‘ฅ โˆ’ ๐‘ฆ + 7๐‘ง = 24๐‘ฅ + 2๐‘ฆ + 2๐‘ง = 53๐‘ฅ + ๐‘ฆ + 3๐‘ง = 1
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Solution 1

To determine whether the system of equations is consistent or not, we can use the Gaussian elimination method. The system of equations is:

  1. 2x - y + 7z = 2
  2. x + 2y + 2z = 5
  3. 3x + y + 3z = 1

First, we can rewrite these equations in augmented matrix form:

| 2 -1 7 | 2 | | 1 2 2 | 5 | | 3 1 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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Determine whether the following system of equations are consistency or not, clearlyshowing your workings2๐‘ฅ โˆ’ ๐‘ฆ + 7๐‘ง = 24๐‘ฅ + 2๐‘ฆ + 2๐‘ง = 53๐‘ฅ + ๐‘ฆ + 3๐‘ง = 1

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