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.
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