Question

simplify, then find(x, y)= (7x+iy)(2-i) =5(2-3i)+2(1+2i)​

Answer 1

ok

answer..

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Answer 2

Answer:

x = 1

y = -2

Step-by-step explanation:

(7x + iy)(2 - i) = 5(2 - 3i) + 2(1 + 2i)​

14x - 7xi + 2yi - yi² = 10 - 15i + 2 + 4i

14x- 7xi + 2yi + y = - 11i + 12

7xi - 2yi - 11i = 14x + y - 12

(7x - 2y - 11)i = (14x + y - 12)

(7x - 2y - 11)i + (-14x - y + 12) = 0

Real no. = (-14x - y + 12) × 2 = 0 -------- (i)

Imaginary no. = (7x - 2y - 11) = 0 -------- (ii)

(-28x - 2y + 24) = 0 -------- (iii)

(-28x - 2y + 24) - (7x - 2y - 11) = 0

-28x - 2y + 24 - 7x + 2y + 11 = 0

-35x + 35 = 0

x = 35/35

x = 1

(-28x - 2y + 24) = 0

-28(1) - 2y + 24 = 0

-4 - 2y = 0

2y = -4

y = -4/2

y = -2