Question

Find real value of x and y 2y+(3x-y) i=5-2i

Answer 1

This question is based on basic concept of complex number. in a complex number, two parts are included ; first one is real and second one is imaginary.

A = (a + ib) is known as complex number. here, a is real part and ib is imaginary part.

concept : if $(a_1+\iota b_1)=(a_2+\iota b_2)$

then, $a_1=a_2$ and $b_1=b_2$

given, 2y + i(3x - y) = 5 - 2i

⇒ 2y = 5 and (3x - y) = -2

now, 2y = 5 ⇒y = 5/2 = 2.5 and (3x - y) = -2

⇒3x - 2.5 = -2

⇒3x = 2.5 - 2 = 0.5

⇒x = 0.5/3 ≈ 0.1667

hence, x = 0.1667 and y = 2.5

Answer 2

Answer:

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