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Solve the following equations for x, y ∈ R (x + iy)/(2 + 3i) = 7 - i

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Solve the following equations for x, y ∈ R. \(\frac{x+iy}{2+3i}=7-i\)

(x + iy)/(2 + 3i) = 7 - i

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\(\frac{x+iy}{2+3i}=7-i\) 

x + iy = (7 – i)(2 + 3i)

x + iy = 14 + 21i – 2i – 3i2

x + iy = 14 + 19i – 3(-1)

x + iy = 17 + 19i

Equating real and imaginary parts, we get

∴ x = 17 and y = 19

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