Solve the following equation for x, y ∈ R: (1 – 3i) x + (2 + 5i) y = 7 + i - Mathematics and Statistics

Question

Solve the following equation for x, y ∈ R:

(1 – 3i) x + (2 + 5i) y = 7 + i

Sum

Solution

(1 – 3i) x + (2 + 5i) y = 7 + i
∴ (x + 2y) + (– 3x + 5y)i = 7 + i
Equating real and imaginary parts, we get
x + 2y = 7 ...(i)
and – 3x + 5y = 1 ...(ii)
Equation (i) x 3 + equation (ii) gives
11y = 22
∴ y = 2
Putting y = 2 in (i), we get
x + 2(2) = 7
∴ x = 3
∴ x = 3 and y = 2.

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Solution of a Quadratic Equation in Complex Number System

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Q 4) ii)Q 4) i)Q 4) iii)

Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 43]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board

Chapter 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 4) ii) | Page 43

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