Ex 4.6, 2 - Examine consistency 2x - y = 5, x + y = 4 - Checking consistency of equations

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  1. Chapter 4 Class 12 Determinants
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Ex 4.6, 2 - Chapter 4 Class 12 Determinants Examine the consisteny of the system of equations 2x - y = 5 x + y = 4 2x - y = 5 x + y = 4 Step 1: Write equation as AX = B [2 -1 1 1] [x y] = [5 4] Hence, A = [2 -1 1 1], X = [x y]. B = [5 4] Step 2 Calculating |A| |A| = |2 -1 1 1| = 2(1) - 1(-1) = 2 + 1 = 3 Since |A| ≠ 0 System of equations is consistent,

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