The system of equations
$\begin{aligned}
& x+y+z=6 \\ & x+2 y+5 z=9, \\ & x+5 y+\lambda z=\mu,
\end{aligned}$
has no solution if

Question

The system of equations $\begin{aligned} & x+y+z=6 \ & x+2 y+5 z=9, \ & x+5 y+\lambda z=\mu, \end{aligned}$ has no solution if

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{D}=\left|\begin{array}{lll}1 & 1 & 1 \ 1 & 2 & 5 \ 1 & 5 & \lambda\end{array}ight|=0 \ & \lambda=17 \ & D_z=\left|\begin{array}{lll}1 & 1 & 6 \ 1 & 2 & 9 \ 1 & 5 & \mu\end{array}ight| 
eq 0 \ & \mu 
eq 18\end{aligned}$

The system of equations $\begin{aligned} & x+y+z=6 \\ & x+2 y+5 z=9, \\ & x+5 y+\lambda z=\mu,…

Solution