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 of equality: if a = b, then .
(Subtract 2x from each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply Additive inverse property:
)
The second equation is .
(Replace
in first equation 2)
Distribute terms using distributive property: .
(Multiply:
and
)
\
Combine like terms using distributive property: .
(Add:
)
Apply addition property of equality: if , then
.
(Add 15 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Apply division property of equality; if , then
.
(Divide each side by 7)
(Cancel common terms)
(Divide:
)
(Replace x = 4 in equation
)
(Multiply:
)
(Subtract:
)
The solution is.