Question

x + 1 + iy = 4 +3i find value of x And y​

Answer 1

Answer:

(x+1) + iy = 4 + 3i

Comparing real and imaginary parts

x + 1 = 4 and iy = 3i

x = 4 - 1 and y =3

x = 3

The value if x and y is 3 and 3

Answer 2

x(1+ 2i) + y( 2-i) = 4 + 3i

Let us expand the brackets.

==> x + 2xi + 2y - yi = 4 + 3i.

==> We will combine real terms and complex terms together.

==> (x+ 2y) + (2x -y) i = 4 + 3i.

Now we will compare terms.

==> x + 2y = 4 ..............(1)

==> 2x - y = 3 ....................(2)

Now we will solve the system.

We will use the substitution method to solve.

==> We will rewrite y= 2x - 3.

==> x+ 2y = 4

==> x + 2(2x-3) = 4

==> x + 4x - 6 = 4

==> 5x = 10

==> x= 2.

==> y= 2x -3 = 2*2 - 3 = 4-3 =1

==> y= 1