Question

$(x + 2y) + (2x - 3y)i + 4i = 5 \: \: \\ find \: the \: value \: of \: x \: and \: y$
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Answer 1

ANSWER:

Given:

• (x + 2y) + (2x - 3y)i + 4i = 5

To Find:

• Value of x and y

Solution:

$\text{We are given that,}\\\\:\longrightarrow(x+2y)+(2x-3y)i+4i=5\\\\\text{Transposing 4i to RHS,}\\\\:\implies(x+2y)+(2x-3y)i=5-4i\\\\\text{As these are complex numbers, we compare the real and imaginary parts,}\\\\:\implies x+2y=5,- - - -(1)\\\\:\implies 2x-3y=-4- - - -(2)\\\\\text{Multiplying (1) by 2. So,}\\\\:\implies2(x+2y=5)\\\\:\implies2x+4y=10- - - -(3)\\\\\text{We will eliminate x by subtracting (2) from (3).}\\\\\text{So,}\\\\:\implies(2x+4y)-(2x-3y)=10-(-4)\\\\:\implies2x\!\!\!\!/\:+4y-2x\!\!\!\!/\:+3y=10+4\\\\:\implies7y=14\\\\\:\implies y=\dfrac{14\!\!\!\!/^{\:2}}{7\!\!\!/_{\:1}}\\\\\bf{:\implies y=2}\\\\\text{Putting value of y in (1),}\\\\:\implies x+2(2)=5\\\\:\implies x+4=5\\\\\bf{:\implies x=1}\\\\\text{\bf{So, the value of x and y is 1 and 2 respectively.}}$

Answer 2

best answer ke liye refer the attachment.

Agar achha lage to like zarur krna.