Find the values of X and why in the following equation.

(x+yi)+(4+9i)=9-4i

The values of x and y are x = 5 and y = -13 ⇒ B

Step-by-step explanation:

If the complex numbers are A = (a + bi) and B = (c + di), then

A + B = (a + c) + (b + d)i

Let us solve the question

∵ (x + yi) + (4 + 9i) = 9 - 4i

→ Add the real parts and the imaginary parts on the left side

∵ x, 4 are the real parts, and y and 9 are the imaginary parts

∴ (x + 4) + (y + 9)i = 9 - 4i

→ Compare the two sides, and equate the like terms

∵ 9 is the real part and -4 is the imaginary part

∴ x + 4 = 9

→ Subtract 4 from both sides

∴ x + 4 - 4 = 9 - 4

∴ x = 5

∵ y + 9 = -4

→ Subtract 9 from both sides

∵ y + 9 - 9 = - 4 - 9

∴ y = -13

3201

step-by-step explanation: