Answer this question please

Answers
Answer:
Step-by-step explanation:
To find ( x + y ) if ---
=> x + 2 ( i ) + 15 y ( i )^6 = 7 x + ( y + 4 ) ( i )^3
We know that in such an equation, real part on the left side must be equal to real part on the right hand side of the equation. The same rule is applicable for the imaginary parts.
Hence comparing the real parts we get ---
=> x - 15 y = 7 x
=> 6 x = -- 15 y ..................... (1)
And comparing the imaginary parts we get ---
=> y = 4 = 2
=> y = -- 2 ............... (2)
From (1) and (2) we get --
=> 6 x = -- 15 y
=> 6 x = -- 15 ( -- 2 )
=> x = 5
Hence ( x + y ) = 5 + ( -- 2 ) = 3
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Step-by-step explanation:
x+2i+15i6y=7x+i3(y+4)⇒x+2i+15(i2)3y=7x+i2×i×(y+4)⇒x+2i+15(−1)3y=7x+(−1)×i×(y+4) [∵i2=−1]⇒x+2i−15y=7x−i(y+4)⇒x+2i−15y=7x−iy−4i⇒x−7x+2i+4i−15y+iy=0⇒(−6x−15y)+i(6+y)=0+0iOn comparing real and imaginary part, we get−6x−15y=0 ...(1)and 6+y=0⇒y=−6Put the value of y in (1), we get−6x−15(−6)=0⇒−6x+15(6)=0⇒−x+15=0⇒x=15So, x+y=15+(−6)=9