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
According to subtraction property equality: if a=b, then .
(Subtract 2x from each side).
(Apply Additive inverse property:
).
(Apply Additive identity property:
)
The second equation is
(Replace
in first equation 2).
(Apply Distributive property:
)
(Multiply:
)
(Multiply:
)
(Apply Distributive property:
)
(Add:
)
(Add 15 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
(Divide each side by 7)
(Cancel common terms)
(Divide:
)
(Replace x = 4 in equation
)
(Multiply:
)
(Subtract:
)
The solution is.