The equation is
To find the value of n and m set the real parts equal to each other and the imaginary
\parts equal to each other.
Real parts:
\According to subtraction property of equality: if then
.
(Subtract 4 from each side)
(Commutative proprty:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Imaginary parts:
\According to Addition property of equality: if then
.
(Add 7 to each side)
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 3)
(Cancel common terms)
The values of m and n are and
respectively.