Question

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

Answer 1

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

X = - 2( 6 - iy - 3i ) / 3

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

Answer 2

Answer: x= -4 and y=-3

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.