Question

Solve the equation for x, y ∈ R
(4 - 5i)x + (2 + 3i)y = 10 - 7i

Answer 1

Answer:

Step-by-step explanation:

It is the correct answer

Answer 2

Answer:

x = 2 and y = 1

Step-by-step explanation:

In the question,

We have an equation,

(4 - 5i)x + (2 + 3i)y = 10 - 7i

So,

To find out the value of the terms x and y we have to solve the problems so that we can find out that by comparing the both sides,

So,

(4 - 5i)x + (2 + 3i)y = 10 - 7i

So,

$4x -5xi + 2y + 3yi = 10 - 7i\\(4x + 2y)-(5x-3y)i=10-7i$

We can say that on comparing both the sides that,

$4x + 2y=10.........(1)\\and,\\5x-3y=7.........(2)$

On solving these two equations we get,

x = 2

and,

y = 1

Therefore, the value of x and y are 2 and 1 respectively.