Question

1. fill in the boxes to make a true statement:

(\square - 3i) - (15 + \square i) = 7 - 12i

Explanation:

Step1: Isolate real part equation

Let the first box be $x$ (real number).
Real part: $x - 15 = 7$

Step2: Solve for real box value

$x = 7 + 15 = 22$

Step3: Isolate imaginary part equation

Let the second box be $y$ (real number).
Imaginary part: $-3 - y = -12$

Step4: Solve for imaginary box value

$-y = -12 + 3 = -9 \implies y = 9$

Answer:

First box: $22$, Second box: $9$
The completed statement is: $(22 - 3i) - (15 + 9i) = 7 - 12i$