જો સમીકરણ સંહતિ 2 x+y+z=5 ; &nbsp | vedclass

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Question

Here $\mathrm{D}=\left|\begin{array}{ccc}2 & 1 & 1 \ 1 & -1 & 1 \ 1 & 1 & \mathrm{a}\end{array}ight|$

$=2(-\mathrm

Vedclass · Accepted Answer

$\mathrm{a}=\frac{1}{3}, \mathrm{~b} 
eq \frac{7}{3}$

Vedclass · Answer

Here $\mathrm{D}=\left|\begin{array}{ccc}2 & 1 & 1 \ 1 & -1 & 1 \ 1 & 1 & \mathrm{a}\end{array}ight|$

$=2(-\mathrm{a}-1)-1(\mathrm{a}-1)+1+1$

$=1-3 \mathrm{a}$

$\mathrm{D}_{3}=\left|\begin{array}{ccc}2 & 1 & 5 \ 1 & -1 & 3 \ 1 & 1 & \mathrm{~b}\end{array}ight|$

$=2(-b-3)-1(b-3)+5(1+1)$

$=7-3 b$

for $a=\frac{1}{3}, b 
eq \frac{7}{3}$, system has no solutions

જો સમીકરણ સંહતિ $2 x+y+z=5$ ; $x-y+z=3$ ; $x+y+a z=b$ નો ઉકેલગણ ખાલીગણ હોય તો . . .

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