Question

Find the values of x and y that satisfy the equation.
-10x+12i=20+3yi​

Answer 1

x = -2

y = 4

Explanation:

Given

`-10x+12i=20+3yi`

Two complex numbers are equal when they have equal real and imaginary parts.

Equate real parts:

`-10x=20\\ \\x=-(20)/(10)=-2`

Equate imaginary parts:

`12=3y\\ \\y=(12)/(3)=4`