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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.