Question

Find the value of x and y if
5x+(3x - y)i = 10 + 2i

Answer 1

Answer:

Given 4x+i(3x−y)=3−i6

Comparing real and imaginary parts

⟹4x=3⟹x=

4

3

and 3x−y=−6⟹3(

4

3

)−y=−6⟹y=

4

9

+6=

4

33

Answer 2

Answer:

x = 2 and y = 4

Step-by-step explanation:

On equating both sides real and imaginary parts

=> 5x = 10 and 3x - y = 2

=> x = 2 and 3(2) - y = 2

=> x = 2 and y = 6 - 2

=> x = 2 and y = 4

Hence x is 2 and y is 4