Question

Write the expression in standard form. -3 + yi = x + 6i

Answer 1

The expression in standard form is -3 + 6i

Explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6) + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.