Ex 4.6, 1 - Examine consistency x + 2y = 2, 2x + 3y = 3 - Checking consistency of equations

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Ex 4.6, 1 Examine the consistency of the system of equations. x + 2y = 2 2x + 3y = 3 x + 2y = 2 2x + 3y = 3 Step 1 Write equation AX = B 1 2 2 3 = 2 3 Hence A = 1 2 2 3 , X = & B = 2 3 Step 2 Calculate |A| |A| = 1 2 2 3 = 3 1 2 2 = 3 4 = 1 0 Since |A| 0 the system of equations is consistent

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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.