Question

Someone help me with this algebra 2 question

Answer 1

2x + 5 + i - yi = -3 - 4i

2x - yi = -8 - 5i

2x = -8 - 5i - yi

2x = -8 -i(5-y)

2(-4) = -8 -i(5-y)

0 = -i(5-y)

0 = 5 - y

-y = -5

y = 5

If x = -4, y is a real number.

Answer 2

We know that if Two Complex Numbers (p + qi) and (a + bi) are said to be Equal then (p = a) and (q = b)

Given : (2x + 5) + (1 - y)i = -3 - 4i

⇒ 2x + 5 = -3

⇒ 2x = -3 - 5

⇒ 2x = -8

⇒ x = -4

Option 2 is the Answer