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Example 1 If 4x + i(3x – y) = 3 + i (–6), where x and y are real numbers, then find the values of x and y. Given 4π‘₯ + 𝑖 (3π‘₯ – 𝑦) = 3 + 𝑖 (–6) Comparing Real Part 4π‘₯ = 3 𝒙 = πŸ‘/πŸ’ Comparing Imaginary Part 3π‘₯ – 𝑦 = βˆ’6 Putting 𝒙 = πŸ‘/πŸ’ 3(πŸ‘/πŸ’) – 𝑦 = –6 9/4βˆ’π‘¦=βˆ’6 9/4+6=𝑦 π’š=πŸ‘πŸ‘/πŸ’ Hence, 𝒙 = πŸ‘/πŸ’ & π’š = πŸ‘πŸ‘/πŸ’ is the solution of the given equation

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.