Ex 4.6, 7 - Solve using matrix method 5x + 2y = 4, 7x + 3y = 5 - Ex 4.6

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  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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ex 4.6 Step 2 Calculate |A| |A| = 5 2 7 3 = 5(3) 7 15 14 = 15 14 = 1 |A| 0 Since |A| 0, System of equations is consistent & has a unique solution Now, AX = B Solution is X = A-1 B Step 3 Calculate X = A-1 B A-1 = 1 |A| adj (A) A = 5 2 7 3 adj A = 5 2 7 3 = 3 2 7 5 Now, A-1 = 1 |A| adj A Putting values = 1 1 3 2 7 5 = 3 2 7 5 & B = 4 5 Now X = A-1 B = 3 2 7 5 4 5 = 3 4 + 2 5 7 4 +5(5) = 2 3 Hence x = 2 & y = 3

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.