Question

Complex numbers:
Solve for 'm' and 'n' when

Answer 1

\[z_{1}=2-3i~~~~,z_{2}=5+4i\]
For equation
\[mz_{1}+nz_{2}=11+18i\]

Answer 2

x+y=11, w+z=18

Answer 3

huh?

Answer 4

wait, are m and n complex?

Answer 5

i dont know

Answer 6

i think its a constant

Answer 7

are they integers? or you don't know?

Answer 8

my teacher just gave me this and tell me to solve

Answer 9

Give me a few minutes, I'll get it.

Answer 10

ok

Answer 11

\[z_{1}=2-3i~,z_{2}=5+4i\]
\[mz_{1}+nz_{2}=11+18i\]
\[m(2-3i)+n(5+4i)=11+8i\]

Answer 12

\[2m+5n=8\]
\[-3m+4n=11\] etc

Answer 13

you mean
2m+5n=11
−3m+4n=8 ?

Answer 14

the real part equate with real number?

Answer 15

Yes. Satellite is correct.

Answer 16

i messed up but yes, what you wrote

Answer 17

i made a typo, should have been
\[m(2-3i)+n(5+4i)=11+18i\]

Answer 18

ok, i got it, thanks!!!!!!

Answer 19

so
\[2m+5n=11\]
\[-3m+4n=18\] my mistake