Question

9x-18i=-36+6yi solve for x and y

Answer 1

Answer: x= -4 and y=-3

Step-by-step explanation:

We know that a complex number is given by :-

$z=a+bi$ , where a = real part and b = imaginary part .

When two complex number are equal then

• their corresponding real part are equal.
• their corresponding imaginary part are equal.

Given equation represents two complex numbers are equal.

$9x-18i=-36+6yi$

⇒ corresponding real part are equal.

⇒ 9x=-36

⇒ x= -4  [Divide both sides by 9]

Also, corresponding imaginary part are equal.

⇒ -18= 6y  [coefficient of i]

⇒ -3=y  [Divide both sides by 6]

Therefore , the values of x and y are -4 and -3 respectively.

Answer 2

When i use " / "  its the bar between, the divider.

X =  - 2( 6 - iy - 3i ) / 3

Y = 3( x - 2i + 4 ) / 2i