Act Math Practice
Intermediate Algebra Answer 5
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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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