Question

Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.

Answer 1

X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

Subtract (5 + 9i). MAKE SURE YOU SUBTRACT 9i TOO. In other words, distribute the negative and subtract 5 and 9i at the same time.

x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

x = -2 - 24i

Answer 2

Answer:

the missing term is $(-2-24i)$

Step-by-step explanation:

Let

$(x+yi)$------> the missing term

we have

$(x+yi)+(7-3i)+(5+9i)+13i=10-5i$

Combine like terms in the left side

$(x+7+5)+(yi-3i+9i+13i)=10-5i$

$(x+12)+(yi+19i)=10-5i$

Solve the system of equations

$x+12=10$ ------> equation A

$x=10-12=-2$

$yi+19i=-5i$ ------> equation B

$yi=-5i-19i=-24i$

the missing term is $(-2-24i)$