Question

Type the correct answer in each box. Use numerals instead of words. Find the values of x and y in these equations. (x + yi) - (-8 + 11i) = 5 + 9i

Answer 1

Answer:

Explanation:

Given the equation:

$\mleft(x+yi\mright)-(-8+11i)=5+9i$

First, we isolate the expression containing x and y.

$\mleft(x+yi\mright)=5+9i+(-8+11i)$

Next, we collect like terms on the right hand side and simplify.

$\begin{gathered} x+yi=5-8+9i+11i \\ x+yi=-3+20i \end{gathered}$

Therefore:

x = -3

y = 20