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

Step-by-step 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