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  • If the system of linear equations <img alt="7 x+11 \mathrm{y}+\alpha z=13" src="https://entrancecorner.oncodecogs.com/gif.latex?7%20x&plus;11%20%5Cmathrm%7By%7D&plus;%5Calpha%20z%3D1

If the system of linear equations
7 x+11 \mathrm{y}+\alpha z=13
5 x+4 y+7 z=\beta
175 x+194 y+57 z=361
has infinitely many solutions, then \alpha+B+2 is equal to :

Option: 1

3


Option: 2

6


Option: 3

5


Option: 4

4


Answers (1)

best_answer

7 x+11 y+\alpha z=13
5 x+4 y+7 z=\beta
175 x+194 y+57 z=361

4sc condition of Infinite Many solution

\Delta=0$ \& $\Delta \mathrm{x}, \Delta \mathrm{y}, \Delta \mathrm{z}=0 check.
After solving we get \alpha+13+2=4

Posted by

Sanket Gandhi

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