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solution to practice final question 10

# solution to practice final question 10 - 3d=5c d=5c/3 4...

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c/3 + d =a a/3 + c/3 = b b = c 2a/3 + c/3 = d a + b + c + d = 1 0. Remove fractions c+3d=3a a+c=3b b=c 2a+c=3d a+b+c+d=1 1. Express b in terms of c b=c 2. Express a in terms of c a+c=3b a=3b-c a=3(c)-c a=2c 3. Express d in terms of c c+3d=3a 3d=3a-c 3d=3(2c)-c 3d=6c-c

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Unformatted text preview: 3d=5c d=5c/3 4. Substitute into scalar equation and solve for c a+b+c+d=1 (2c)+(c)+c+(5c/3)=1 6c+3c+3c+5c=3 17c=3 c=3/17 5. Solve for b b=c b=3/17 6. Solve for a a=2c a=2(3/17) a=6/17 7. Solve for d d=5c/3 d=5(3/17)/3 d=15/51 d=5/17 thus: a=6/17 b=3/17 c=3/17 d=5/17...
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solution to practice final question 10 - 3d=5c d=5c/3 4...

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