The equation is
.
The matrices have the same dimensions and the corresponding elements are equal.
\The equality can be written as a two linear equations
\
Equation (1)
Equation (2)
Equation (3)
The first equation is
.
Apply division property of equality; if
, then
.
\
(Divide each side by 2)
(Cancel common terms)
The second equation is
.
Apply division property of equality; if
, then
.
(Divide each side by 3)
(Cancel common terms) \ \
The third equation is
.
Apply division property of equality; if
, then
.
(Divide each side by 3)
(Cancel common terms) \ \
(Divide:
)
The solution is
.