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)
Consider the second equation .
Apply subtraction property of equality; if , then
.
(Subtract 1 from each side)
(Apply Additive inverse property:
)
(Subtract:
)
Apply division property of equality; if , then
.
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
The first equation is .
(Substitute x = 3 in first equation)
Apply subtraction property of equality; if , then
.
(Subtract 3 from each side)
(Apply Additive inverse property: 3
3 = 0)
(Subtract:
)
Apply division property of equality; if , then
.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
The solution is .