Respuesta :

Answer:

The values of x and y that satisfy the equation are 2 and 2, respectively.

Step-by-step explanation:

Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:

Real component

[tex]4\cdot x = 8[/tex] (1)

Imaginary component

[tex]2 = y[/tex] (2)

The solution of this system of equations is [tex]x = 2[/tex] and [tex]y = 2[/tex].

The values of x and y that satisfy the equation are 2 and 2, respectively.

The values of x and y that satisfy the equation is x = 2, y = 2.

Given that,

  • The equation is 4x+2i=8+yi.

Based on the above information, the calculation is as follows:

  • Here two complex numbers are the same and for one pair with respect to the coefficient should be same on the both sides.

Now

(4) (x) = 8.........real component

x = 2

And,

2 = y..... imaginery component

Therefore we can conclude that the values of x and y that satisfy the equation is x = 2, y = 2.

Learn more: brainly.com/question/24169758