Solve for real X and y

Question

X+yi=(1-i)(2+8i)

Answer 1

Using the distributive property, we can simplify the expression on the right side:

(1 - i)(2 + 8i) = 2 - 2i + 8i - 8i^2

Since i^2 = -1, we can replace i^2 with -1:

2 - 2i + 8i + 8 = 10 + 6i

Now we can set this equal to X + yi and solve for X and y:

X + yi = 10 + 6i

So we know that X = 10 and y = 6. Therefore, the solution is:

X = 10, y = 6