Act Math Practice

Intermediate Algebra Answer 5

Intermediate Algebra Answer 5:

5. x and y are real numbers. ai and bi are imaginary numbers.

When does ai + x = bi + y ?

A. When a = b

B. When x = y

C. When a = x and b = y

D. When a = y and b = x

E. When a = b and x = y

The correct answer is E.

Two complex numbers are equal if and only if their real parts are equal and their imaginary parts are equal.

Therefore, in order for xi + a to be equal to yi + b, a must be equal to b and x must be equal to y.

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