Question

find the values of x and y that satisfy the equation.
-12x + yi = 60 - 13i
x = \square and y = \square

Explanation:

Step1: Equate real parts

For the complex equation \(-12x + yi = 60 - 13i\), the real parts must be equal. So, \(-12x = 60\).

Step2: Solve for x

To find \(x\), divide both sides of \(-12x = 60\) by \(-12\): \(x=\frac{60}{-12}=-5\).

Step3: Equate imaginary parts

The imaginary parts of the complex numbers must be equal. So, \(y = -13\).

Answer:

\(x = -5\) and \(y = -13\)