Respuesta :
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
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:
the missing term is [tex](-2-24i)[/tex]
Step-by-step explanation:
Let
[tex](x+yi)[/tex]------> the missing term
we have
[tex](x+yi)+(7-3i)+(5+9i)+13i=10-5i[/tex]
Combine like terms in the left side
[tex](x+7+5)+(yi-3i+9i+13i)=10-5i[/tex]
[tex](x+12)+(yi+19i)=10-5i[/tex]
Solve the system of equations
[tex]x+12=10[/tex] ------> equation A
[tex]x=10-12=-2[/tex]
[tex]yi+19i=-5i[/tex] ------> equation B
[tex]yi=-5i-19i=-24i[/tex]
the missing term is [tex](-2-24i)[/tex]