Type the correct answer In each box. What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =

9514 1404 393

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16