Original equation.
\
Multiply the matrix by 2
\
(Multiply each element by 2)
(Simplify)
Subtract the matrix
\
(Subtract the corresponding elements)
(Simplify)
(Equate corresponding elements )
Equation 1:
, Equation 2:
.
Solve the equation 1:
.
Apply subtraction property of equality:If a = b then a
c = b
c.
(Subtract 9 from each side)
(Subtract:
)
Apply division property of equality: If a = b then
.
(Divide each side by negative 2)
(Cancel common terms and signs)
Solve the equation 2:
.
(Subtract 12 from each side)
Rearrange the terms using commutative property addition: a + b = b + a.
\
(Subtract:
)
(Divide each side by 4)
(Cancel common terms)
The solution is
and
.