NIMCET 2024 Paper

Subtract equation (1) from (2), we get $\mathit{z}=1$
Subtract equation (2) from (3), we get $\left(\mathit{\lambda }-3\right)\mathit{z}=\mathit{\mu }-6$
Putting value of $\mathit{z}$, we get $\mathit{\lambda }-3=\mathit{\mu }-6$
There are many values of $\mathit{\lambda },\mathit{\mu }$ for which the equations will have many solutions.