The following system of linear equations
2x + 3y + 2z = 9
3x + 2y + 2z = 9
x – y + 4z = 8
The following system of linear equations
2x + 3y + 2z = 9
3x + 2y + 2z = 9
x – y + 4z = 8
Option 1 -
has a unique solution
Option 2 -
has a solution (α, β, γ) satisfying α + β2 + γ3 = 12
Option 3 -
has infinitely many solutions
Option 4 -
does not have any solution
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:2x + 3y + 2z = 9 . (i)
3x + 2y + 2z = 9 . (ii)
x – y + 4z = 8 . (iii)
(ii) – (i) ⇒ x = y
Then (iii) ⇒ z = 2
(i) ⇒ 5x + 4 = 9 ⇒ (x = 1, y = 1, z = 2) unique solution
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