The two-by-two linear system ax + by = e, cx + dy = f , where a, b, c, d, e, f are

Chapter 1, Problem 19

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The two-by-two linear system ax + by = e, cx + dy = f , where a, b, c, d, e, f are given, can be solved for x and y as follows: set m = c a , provided a = 0; d1 = d mb; f1 = f me; y = f1 d1 ; x = (e by) a . Solve the following linear systems using four-digit rounding arithmetic. a. 1.130x 6.990y = 14.20 1.013x 6.099y = 14.22 b. 8.110x + 12.20y = 0.1370 18.11x + 112.2y = 0.1376

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