Question

If 5−2i=−2i(1+2iy)−3, what is the value of y?

Answer 1

Step-by-step explanation:

3x−7)+2iy=−5y+(5+x)i

For two complex numbers to be equation

Real parts of true numbers should be equal Imaginary parts should also be equal

3x−7=−5y

2y=5+x=7y=

2

(5+x)

3x−7=

x

−5

(5+x)

6x−14=−25−5x=7x=−11

∴x=−1,y=(

2

5+x

)=

2

5−1

=2