Answer:
a=2, z= 4.75, m=4, k=3
Step-by-step explanation:
[TeX] \begin{equation*} \begin{pmatrix}a+7 & 2z+1 & 3m \\6k & 5 & 1\end{pmatrix} + \begin{pmatrix}12a & 6z & 5m \\7k & 4 & 2\end{pmatrix} = \begin{pmatrix}33 & 39 & 32 \\39 & 9 & 3\end{pmatrix} \end{equation*} [/TeX]
In Matrix Addition, each element in corresponding position is added.
In Matrix Equality, elements in the same position are equal.
Applying these two principles
a+7+12a=33
13a=33-7
13a=26
a=2
2z+1+6z=39
8z=39-1
8z=38
z= 4.75
3m+5m=32
8m=32
m=4
6k+7k=39
13k=39
k=3
Therefore:
a=2, z= 4.75, m=4, k=3
