The given matrix equation is,
.
Multiplying the matrices with the scalars, the given equation becomes,
![image](https://img.qammunity.org/2019/formulas/mathematics/college/dlqziynhozbp2b8z9tqhtgdb471iw3kz0j.png)
Adding the matrices,
![\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\](https://img.qammunity.org/2019/formulas/mathematics/college/p77u5sfw9ftb6wq3ir37tmygicxyg2az7m.png)
Matrix equality gives,
![image](https://img.qammunity.org/2019/formulas/mathematics/college/uprbidw1rc411um6o0y55xh8yy6w0u1s80.png)
Solving the equations together,
![image](https://img.qammunity.org/2019/formulas/mathematics/college/ng0wtwexoeqh4ex8rxj8ak12340brbseal.png)
We can see that the equations are not consistent.
There is no solution.