Question

Find the values of a and m that make the equation true. Show work. (6 - a) + (3m)i = -12 + 27i

A. a = 6, m = 5
B. a = 18, m = 13
C. a = 6, m = 13
D. a = 18, m = 5

Answer 1

To find the values of a and m that make the equation true, set the real and imaginary parts of the equation separately. The correct answer is not provided in the options given.

Step-by-step explanation:

To find the values of a and m that make the equation true, we can equate the real and imaginary parts of the equation separately. For the real part, we have: 6 - a = -12. Solving for a, we find that a = 6. For the imaginary part, we have: 3m = 27. Solving for m, we find that m = 9. Therefore, the correct answer is not provided in the options given.