Question

Find x,y if 2+(x+iy)= 3-i

Answer 1

Answer:

Value of x and y are 1 and - 1.

Step-by-step explanation:

We have to find out value of x and y in given equation.

Given,

2 + (x + iy)= 3 - i

(2 + x) + iy = 3 - i

By comparing real part of the equation.

∵ 2 + x = 3

∴ x = 1

By comparing imaginary part of the equation.

∴ y = - 1

So value of x and y are 1 and - 1.

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Answer 2

Answer:

The value of x = 1  and the value of  y = -1

Step-by-step explanation:

Given :

We are given the equation

$2+(x+iy)=3-i$

Find :

The values of x and y

Solution :

Since we are given the equation in the form of variables x and y

the equation is

$2+(x+iy)=3-i$                .........Equation (1 )

Simplifying Left Hand Side of the given equation we get

$2+x+iy = 3-i$

$(2+x)+iy= 3-i$

compare both the complex numbers we get

$2+x=3$   and  $iy = -i$

$x = 3-2$   and    y = -1

x = 1  and y = -1

Hence by simplification and comparison we get x = 1 and y = -1

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