For the system of linear equations

2 x+4 y | vedclass

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Question

$\Delta=\left|\begin{array}{ccc}2 & 4 & 2 a \ 1 & 2 & 3 \ 2 & -5 & 2\end{array}ight|=18(3-a)$

$\Delta_x=\left|\begin{ar

Vedclass · Accepted Answer

It has infinitely many solutions if $a=3, b=6$

Vedclass · Answer

$\Delta=\left|\begin{array}{ccc}2 & 4 & 2 a \ 1 & 2 & 3 \ 2 & -5 & 2\end{array}ight|=18(3-a)$

$\Delta_x=\left|\begin{array}{ccc}b & 4 & 2 a \ 4 & 2 & 3 \ 8 & -5 & 2\end{array}ight|=(64+19 b-72 a)$

For unique solution $\Delta=0$

$\Rightarrow a 
eq 3$ and $b \in R$

For Infinitely many solution ;

$\Delta=\Delta_x=\Delta_y=\Delta_z=0$

$\Rightarrow a =3 \quad \because \Delta=0$

$	ext { and } b =8 \quad \because \Delta_x=0$

For the system of linear equations

$2 x+4 y+2 a z=b$

$x+2 y+3 z=4$

$2 x-5 y+2 z=8$

which of the following is NOT correct?

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