Question

(2+i)x+(i-3)y=4 then (x,y)=?​

Answer 1

ANSWER:

Given:

• (2 + i)x + (i - 3)y = 4

To Find:

• Value of (x, y)

Solution:

We are given that,

⇒ (2 + i)x + (i - 3)y = 4

On opening the brackets,

⇒ 2x + ix + iy - 3y = 4

⇒ (2x - 3y) + (x + y)i = 4 + 0i

On comparing real terms,

⇒ 2x - 3y = 4 --------(1)

And, on comparing imaginary terms,

⇒ x + y = 0

Transposing y to RHS,

⇒ x = -y --------(2)

Putting (2) in (1),

⇒ 2x - 3y = 4

⇒ 2(-y) - 3y = 4

⇒ -2y - 3y = 4

⇒ -5y = 4

⇒ y = -4/5

So,

⇒ x = -y = -(-4/5) = 4/5

Hence, x is (4/5) and y is (-4/5).

Therefore, (x, y) = (4/5, -4/5*)