Question

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 =

Answer 1

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Explanation:

Answer 2

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Answer:

A: x = -1 and y = 3

B: x = 12 and y = 16

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