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)
The first equation is
.
Apply subtraction property equality: If a = b, then
.
(Subtract x from each side)
(Apply Additive inverse property:
)
(Subtract:
)
Apply division property of equality; if
, then
.
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
The second equation is
.
According to addition property equality: if a = b, then
.
(Add 1 to each side)
(Apply Additive inverse property:
)
(Add:
)
Apply division property of equality; if
, then
.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
The solution is
.