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Let the system of linear equations x + 2y + z = 2, 
α
x + 3y - z = α, -αx + y + 2z = -α be inconsistent. Then α is equal to:
  • a)
    5/2
  • b)
    -5/2
  • c)
    7/2
  • d)
    -7/2
Correct answer is option 'D'. Can you explain this answer?
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Let the system of linear equations x + 2y + z = 2,αx + 3y - z = ...
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Let the system of linear equations x + 2y + z = 2,αx + 3y - z = ...
In order to solve the system of linear equations, we can use various methods such as substitution, elimination, or matrix operations.

Let's use the method of elimination to solve the system of equations.

The given system of equations is:
1) x + 2y + z = 2

To eliminate the variable x, we can multiply equation 1 by -1 and add it to equation 2.

-1(x + 2y + z) = -1(2)
-x - 2y - z = -2

Adding the two equations, we get:
0 - y + 0 = 0
-y = 0

Solving for y, we get y = 0.

Substituting y = 0 into equation 1, we have:
x + 2(0) + z = 2
x + z = 2

Now we have two equations:
2) -y = 0
3) x + z = 2

From equation 2, we have y = 0. Substituting this into equation 3, we get:
x + z = 2

We have two variables x and z, so we need one more equation to solve for both variables.

Please provide one more equation or additional information to continue solving the system of linear equations.
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Let the system of linear equations x + 2y + z = 2,αx + 3y - z = α, -αx + y + 2z = -α be inconsistent. Then α is equal to:a)5/2b)-5/2c)7/2d)-7/2Correct answer is option 'D'. Can you explain this answer?
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