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Glencoe Solution Manual

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18. 5 2 3 4 x 1 6 y 1 3 z 5 2 (12) 1 8 x 2 3 y 5 6 z 8↓5x 1y 5 6 z 30 1 582 1 8 x 2 3 y 5 6 z 2x 1 4 y838 7 4 3 4 x 1 6 y 1 3 z 7 4 (12) 2 13 1 63 1x6 5 8 7y 1z225↓1 7 7x6 2y4 1z2 21x 5 8 7y 1z 25 9 8 11 x y 1 2 4 1962(38) 9 6 →8 9x 6y4 17 81 y 4 9 8 11 x y 1 4 2x 1 4 y 19 9 8 x 1122x 1 4 y 382 2 0319213y 20 8y 24 3 4 x 1 6 y 1 3 z 122x 1 4 (24) 38 3 4 (16) 1 6 (24) 1 3 z 12x 16 z 12(16, 24, 12)19. Let x represent amount in International Fund, yrepresent amount in Fixed Assets Fund, and zrepresent amount in company stock.x y z 2000x 2z0.045x 0.026y 0.002z 58x y z 20002z y z 2000y 3z 2000y 2000 3z0.045x 0.026y 0.002z 580.045(2z) 0.026y 0.002z 580.026y 0.088z 580.026y 0.088z 580.026(2000 3z) 0.088z 58z 60020c. Sample answer: x y z 6;2x y 2z 8; x 2y 3z 221. 124 1 2 a(1) 2 v 0 (1) s 0272 1 2 a(3) 2 v 0 (3) s 082 1 2 a(8) 2 v 0 (8) s 0↓124 1 2 a v 0 s 0272 9 2 a 3v 0 s 082 32a 8v 0 s 01(124) 1 1 2 a v 0 s 0 272 9 2 a 3v 0 s 0↓124 1 2 a v 0 s 0272 9 2 a 3v 0 s 0148 4a 2v 01(124) 1 1 2 a v 0 s 0 82 32a 8v 0 s 0↓124 1 2 a v 0 s 082 32a 8v 0 s 042 31.5a 7v 07(148) 7(4a 2v 0 )2(42) 2(31.5a 7v 0 )↓1036 28a 14v 084 63a 14v 01120 35a32 a148 4a 2v 0 124 1 2 a v 0 s 0148 4(32) 2v 0 124 1 2 (32) 138 s 0138 v 0 2 s 0(32, 138, 2)22a. Sample answer: A system has no solution whenyou reach a contradiction, such as 1 0, as yousolve.22b. Sample answer: A system has an infinite numberof solutions when you reduce the system to twoequivalent equations such as x y 1 and2x 2y 2.x 2z x y z 2000x 2(600) 1200 y 600 2000x 1200 y 200International Fund $1200; Fixed Assets Fund $200; company stock $60020a. Sample answer: x y z 15;2x z 1; 2y z 720b. Sample answer: 4x y z 12;4x y z 10; 5y z 935 Chapter 2

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