The equation is \ \
The matrices have the same dimensions and the corresponding elements are equal.
\The equality can be written as two linear equations. \ \
\ Equation(1)
Equation(2)
\
Consider the equation .
According subtraction property of equality; if , then
;
(Subtract 4 from each side).
(Additive inverse property: 4 - 4 = 0)
(Subtract:
)
Next consider the equation .
(Divide each side by 2).
(Cancel common terms) \ \
(Divide:
)
The solution is ,
.