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Unformatted text preview: numbers. Problem 13: 2 1 53 4 2 Using Cramer’s Rule to solve a system of two equations: ax + by = h cx + dy = k D = a b = ad – bc c d D x = h b = hd – bk (x column replaced by constants) k d D y = a h = ak – hc (y column replaced by constants) c k Cramer’s Rule: x = x D D y = y D D as long as D is not 0 When D=0, there is no solution or infinite solutions so use another method! Problem 7: 2y – 4 = 0 x + 2y = 5 Cramer’s Rule for three equations: x D x D = y D y D = z D z D = as long as D is not 0 1 1 1 1 2 2 2 2 3 3 3 3 a x b y c z k a x b y c z k a x b y c z k + + = + + = + + = a b c k b c D = a b c D x = k b c a b c k b c a k c a b k D y = a k c D z = a b k a k c a b k Problem 19: 3x + z = 1x – 3y + z = 7 3y + z = 5...
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 Spring '08
 HELENIUS
 Determinant, Systems Of Equations, Equations, Vector Space, Complex number, Cramer's rule

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